{"id":277889,"date":"2026-02-03T03:31:14","date_gmt":"2026-02-03T03:31:14","guid":{"rendered":"https:\/\/www.newsbeep.com\/ie\/277889\/"},"modified":"2026-02-03T03:31:14","modified_gmt":"2026-02-03T03:31:14","slug":"dissipative-solitons-in-mode-locked-parity-time-symmetric-lasers","status":"publish","type":"post","link":"https:\/\/www.newsbeep.com\/ie\/277889\/","title":{"rendered":"Dissipative solitons in mode-locked parity\u2013time-symmetric lasers"},"content":{"rendered":"<p class=\"c-article-references__text\" id=\"ref-CR1\">Bender, C. M. &amp; Boettcher, S. Real spectra in non-Hermitian Hamiltonians having \\({\\mathcal{P}}{\\mathcal{T}}\\) symmetry. Phys. Rev. Lett. 80, 5243 (1998).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.80.5243\" data-track-item_id=\"10.1103\/PhysRevLett.80.5243\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.80.5243\" aria-label=\"Article reference 1\" data-doi=\"10.1103\/PhysRevLett.80.5243\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1998PhRvL..80.5243B\" aria-label=\"ADS reference 1\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"mathscinet reference\" data-track-action=\"mathscinet reference\" href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1627442\" aria-label=\"MathSciNet reference 1\" target=\"_blank\">MathSciNet<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 1\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Real%20spectra%20in%20non-Hermitian%20Hamiltonians%20having%20%24%24%7B%5Cmathcal%7BP%7D%7D%7B%5Cmathcal%7BT%7D%7D%24%24%20P%20T%20symmetry&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.80.5243&amp;volume=80&amp;publication_year=1998&amp;author=Bender%2CCM&amp;author=Boettcher%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR2\">Feng, L., El-Ganainy, R. &amp; Ge, L. Non-Hermitian photonics based on parity-time symmetry. Nat. Photon. 11, 752\u2013762 (2017).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41566-017-0031-1\" data-track-item_id=\"10.1038\/s41566-017-0031-1\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41566-017-0031-1\" aria-label=\"Article reference 2\" data-doi=\"10.1038\/s41566-017-0031-1\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2017NaPho..11..752F\" aria-label=\"ADS reference 2\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 2\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Non-Hermitian%20photonics%20based%20on%20parity-time%20symmetry&amp;journal=Nat.%20Photon.&amp;doi=10.1038%2Fs41566-017-0031-1&amp;volume=11&amp;pages=752-762&amp;publication_year=2017&amp;author=Feng%2CL&amp;author=El-Ganainy%2CR&amp;author=Ge%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR3\">\u00d6zdemir, \u015e. K., Rotter, S., Nori, F. &amp; Yang, L. Parity\u2013time symmetry and exceptional points in photonics. Nat. Mater. 18, 783\u2013798 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41563-019-0304-9\" data-track-item_id=\"10.1038\/s41563-019-0304-9\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41563-019-0304-9\" aria-label=\"Article reference 3\" data-doi=\"10.1038\/s41563-019-0304-9\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2019NatMa..18..783O\" aria-label=\"ADS reference 3\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 3\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Parity%E2%80%93time%20symmetry%20and%20exceptional%20points%20in%20photonics&amp;journal=Nat.%20Mater.&amp;doi=10.1038%2Fs41563-019-0304-9&amp;volume=18&amp;pages=783-798&amp;publication_year=2019&amp;author=%C3%96zdemir%2C%C5%9EK&amp;author=Rotter%2CS&amp;author=Nori%2CF&amp;author=Yang%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR4\">Chong, Y. D., Ge, L., Cao, H. &amp; Stone, A. D. Coherent perfect absorbers: time-reversed lasers. Phys. Rev. Lett. 105, 053901 (2010).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.105.053901\" data-track-item_id=\"10.1103\/PhysRevLett.105.053901\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.105.053901\" aria-label=\"Article reference 4\" data-doi=\"10.1103\/PhysRevLett.105.053901\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2010PhRvL.105e3901C\" aria-label=\"ADS reference 4\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 4\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Coherent%20perfect%20absorbers%3A%20time-reversed%20lasers&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.105.053901&amp;volume=105&amp;publication_year=2010&amp;author=Chong%2CYD&amp;author=Ge%2CL&amp;author=Cao%2CH&amp;author=Stone%2CAD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR5\">Chang, L. et al. Parity\u2013time symmetry and variable optical isolation in active-passive-coupled microresonators. Nat. Photon. 8, 524\u2013529 (2014).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/nphoton.2014.133\" data-track-item_id=\"10.1038\/nphoton.2014.133\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fnphoton.2014.133\" aria-label=\"Article reference 5\" data-doi=\"10.1038\/nphoton.2014.133\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2014NaPho...8..524C\" aria-label=\"ADS reference 5\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 5\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Parity%E2%80%93time%20symmetry%20and%20variable%20optical%20isolation%20in%20active-passive-coupled%20microresonators&amp;journal=Nat.%20Photon.&amp;doi=10.1038%2Fnphoton.2014.133&amp;volume=8&amp;pages=524-529&amp;publication_year=2014&amp;author=Chang%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR6\">Feng, L. et al. Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies. Nat. Mater. 12, 108\u2013113 (2013).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/nmat3495\" data-track-item_id=\"10.1038\/nmat3495\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fnmat3495\" aria-label=\"Article reference 6\" data-doi=\"10.1038\/nmat3495\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2013NatMa..12..108F\" aria-label=\"ADS reference 6\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 6\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Experimental%20demonstration%20of%20a%20unidirectional%20reflectionless%20parity-time%20metamaterial%20at%20optical%20frequencies&amp;journal=Nat.%20Mater.&amp;doi=10.1038%2Fnmat3495&amp;volume=12&amp;pages=108-113&amp;publication_year=2013&amp;author=Feng%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR7\">Chen, Y., Snyder, A. &amp; Payne, D. Twin core nonlinear couplers with gain and loss. IEEE J. Quantum Electron. 28, 239\u2013245 (1992).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1109\/3.119519\" data-track-item_id=\"10.1109\/3.119519\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1109%2F3.119519\" aria-label=\"Article reference 7\" data-doi=\"10.1109\/3.119519\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1992IJQE...28..239C\" aria-label=\"ADS reference 7\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 7\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Twin%20core%20nonlinear%20couplers%20with%20gain%20and%20loss&amp;journal=IEEE%20J.%20Quantum%20Electron.&amp;doi=10.1109%2F3.119519&amp;volume=28&amp;pages=239-245&amp;publication_year=1992&amp;author=Chen%2CY&amp;author=Snyder%2CA&amp;author=Payne%2CD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR8\">Malomed, B. A., Peng, G. D. &amp; Chu, P. L. Nonlinear-optical amplifier based on a dual-core fiber. Opt. Lett. 21, 330\u2013332 (1996).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1364\/OL.21.000330\" data-track-item_id=\"10.1364\/OL.21.000330\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1364%2FOL.21.000330\" aria-label=\"Article reference 8\" data-doi=\"10.1364\/OL.21.000330\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1996OptL...21..330M\" aria-label=\"ADS reference 8\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 8\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Nonlinear-optical%20amplifier%20based%20on%20a%20dual-core%20fiber&amp;journal=Opt.%20Lett.&amp;doi=10.1364%2FOL.21.000330&amp;volume=21&amp;pages=330-332&amp;publication_year=1996&amp;author=Malomed%2CBA&amp;author=Peng%2CGD&amp;author=Chu%2CPL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR9\">Guo, A. et al. Observation of \\({\\mathcal{P}}{\\mathcal{T}}\\)-symmetry breaking in complex optical potentials. Phys. Rev. Lett. 103, 093902 (2009).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.103.093902\" data-track-item_id=\"10.1103\/PhysRevLett.103.093902\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.103.093902\" aria-label=\"Article reference 9\" data-doi=\"10.1103\/PhysRevLett.103.093902\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2009PhRvL.103i3902G\" aria-label=\"ADS reference 9\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 9\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Observation%20of%20%24%24%7B%5Cmathcal%7BP%7D%7D%7B%5Cmathcal%7BT%7D%7D%24%24%20P%20T%20-symmetry%20breaking%20in%20complex%20optical%20potentials&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.103.093902&amp;volume=103&amp;publication_year=2009&amp;author=Guo%2CA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR10\">R\u00fcter, C. E. et al. Observation of parity-time symmetry in optics. Nat. Phys. 6, 192\u2013195 (2010).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/nphys1515\" data-track-item_id=\"10.1038\/nphys1515\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fnphys1515\" aria-label=\"Article reference 10\" data-doi=\"10.1038\/nphys1515\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 10\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Observation%20of%20parity-time%20symmetry%20in%20optics&amp;journal=Nat.%20Phys.&amp;doi=10.1038%2Fnphys1515&amp;volume=6&amp;pages=192-195&amp;publication_year=2010&amp;author=R%C3%BCter%2CCE\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR11\">Musslimani, Z. H., Makris, K. G., El-Ganainy, R. &amp; Christodoulides, D. N. Optical solitons in \\({\\mathcal{P}}{\\mathcal{T}}\\) periodic potentials. Phys. Rev. Lett. 100, 030402 (2008).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.100.030402\" data-track-item_id=\"10.1103\/PhysRevLett.100.030402\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.100.030402\" aria-label=\"Article reference 11\" data-doi=\"10.1103\/PhysRevLett.100.030402\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2008PhRvL.100c0402M\" aria-label=\"ADS reference 11\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 11\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Optical%20solitons%20in%20%24%24%7B%5Cmathcal%7BP%7D%7D%7B%5Cmathcal%7BT%7D%7D%24%24%20P%20T%20periodic%20potentials&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.100.030402&amp;volume=100&amp;publication_year=2008&amp;author=Musslimani%2CZH&amp;author=Makris%2CKG&amp;author=El-Ganainy%2CR&amp;author=Christodoulides%2CDN\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR12\">Alexeeva, N. V., Barashenkov, I. V., Sukhorukov, A. A. &amp; Kivshar, Y. S. Optical solitons in \\({\\mathcal{P}}{\\mathcal{T}}\\)-symmetric nonlinear couplers with gain and loss. Phys. Rev. A 85, 063837 (2012).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevA.85.063837\" data-track-item_id=\"10.1103\/PhysRevA.85.063837\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevA.85.063837\" aria-label=\"Article reference 12\" data-doi=\"10.1103\/PhysRevA.85.063837\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2012PhRvA..85f3837A\" aria-label=\"ADS reference 12\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 12\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Optical%20solitons%20in%20%24%24%7B%5Cmathcal%7BP%7D%7D%7B%5Cmathcal%7BT%7D%7D%24%24%20P%20T%20-symmetric%20nonlinear%20couplers%20with%20gain%20and%20loss&amp;journal=Phys.%20Rev.%20A&amp;doi=10.1103%2FPhysRevA.85.063837&amp;volume=85&amp;publication_year=2012&amp;author=Alexeeva%2CNV&amp;author=Barashenkov%2CIV&amp;author=Sukhorukov%2CAA&amp;author=Kivshar%2CYS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR13\">Driben, R. &amp; Malomed, B. A. Stability of solitons in parity\u2013time-symmetric couplers. Opt. Lett. 36, 4323\u20134325 (2011).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1364\/OL.36.004323\" data-track-item_id=\"10.1364\/OL.36.004323\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1364%2FOL.36.004323\" aria-label=\"Article reference 13\" data-doi=\"10.1364\/OL.36.004323\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2011OptL...36.4323D\" aria-label=\"ADS reference 13\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 13\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Stability%20of%20solitons%20in%20parity%E2%80%93time-symmetric%20couplers&amp;journal=Opt.%20Lett.&amp;doi=10.1364%2FOL.36.004323&amp;volume=36&amp;pages=4323-4325&amp;publication_year=2011&amp;author=Driben%2CR&amp;author=Malomed%2CBA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR14\">Wimmer, M. et al. Observation of optical solitons in PT-symmetric lattices. Nat. Commun. 6, 7782 (2015).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/ncomms8782\" data-track-item_id=\"10.1038\/ncomms8782\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fncomms8782\" aria-label=\"Article reference 14\" data-doi=\"10.1038\/ncomms8782\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2015NatCo...6.7782W\" aria-label=\"ADS reference 14\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 14\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Observation%20of%20optical%20solitons%20in%20PT-symmetric%20lattices&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fncomms8782&amp;volume=6&amp;publication_year=2015&amp;author=Wimmer%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR15\">Peng, B. et al. Loss-induced suppression and revival of lasing. Science 346, 328\u2013332 (2014).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/science.1258004\" data-track-item_id=\"10.1126\/science.1258004\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fscience.1258004\" aria-label=\"Article reference 15\" data-doi=\"10.1126\/science.1258004\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2014Sci...346..328P\" aria-label=\"ADS reference 15\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 15\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Loss-induced%20suppression%20and%20revival%20of%20lasing&amp;journal=Science&amp;doi=10.1126%2Fscience.1258004&amp;volume=346&amp;pages=328-332&amp;publication_year=2014&amp;author=Peng%2CB\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR16\">Hodaei, H., Miri, M.-A., Heinrich, M., Christodoulides, D. N. &amp; Khajavikhan, M. Parity\u2013time-symmetric microring lasers. Science 346, 975\u2013978 (2014).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/science.1258480\" data-track-item_id=\"10.1126\/science.1258480\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fscience.1258480\" aria-label=\"Article reference 16\" data-doi=\"10.1126\/science.1258480\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2014Sci...346..975H\" aria-label=\"ADS reference 16\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 16\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Parity%E2%80%93time-symmetric%20microring%20lasers&amp;journal=Science&amp;doi=10.1126%2Fscience.1258480&amp;volume=346&amp;pages=975-978&amp;publication_year=2014&amp;author=Hodaei%2CH&amp;author=Miri%2CM-A&amp;author=Heinrich%2CM&amp;author=Christodoulides%2CDN&amp;author=Khajavikhan%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR17\">Feng, L., Wong, Z. J., Ma, R.-M., Wang, Y. &amp; Zhang, X. Single-mode laser by parity-time symmetry breaking. Science 346, 972\u2013975 (2014).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/science.1258479\" data-track-item_id=\"10.1126\/science.1258479\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fscience.1258479\" aria-label=\"Article reference 17\" data-doi=\"10.1126\/science.1258479\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2014Sci...346..972F\" aria-label=\"ADS reference 17\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 17\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Single-mode%20laser%20by%20parity-time%20symmetry%20breaking&amp;journal=Science&amp;doi=10.1126%2Fscience.1258479&amp;volume=346&amp;pages=972-975&amp;publication_year=2014&amp;author=Feng%2CL&amp;author=Wong%2CZJ&amp;author=Ma%2CR-M&amp;author=Wang%2CY&amp;author=Zhang%2CX\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR18\">Miao, P. et al. Orbital angular momentum microlaser. Science 353, 464\u2013467 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/science.aaf8533\" data-track-item_id=\"10.1126\/science.aaf8533\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fscience.aaf8533\" aria-label=\"Article reference 18\" data-doi=\"10.1126\/science.aaf8533\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2016Sci...353..464M\" aria-label=\"ADS reference 18\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 18\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Orbital%20angular%20momentum%20microlaser&amp;journal=Science&amp;doi=10.1126%2Fscience.aaf8533&amp;volume=353&amp;pages=464-467&amp;publication_year=2016&amp;author=Miao%2CP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR19\">Wiersig, J. Review of exceptional point-based sensors. Photon. Res. 8, 09001457 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1364\/PRJ.396115\" data-track-item_id=\"10.1364\/PRJ.396115\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1364%2FPRJ.396115\" aria-label=\"Article reference 19\" data-doi=\"10.1364\/PRJ.396115\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 19\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Review%20of%20exceptional%20point-based%20sensors&amp;journal=Photon.%20Res.&amp;doi=10.1364%2FPRJ.396115&amp;volume=8&amp;publication_year=2020&amp;author=Wiersig%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR20\">Longhi, S. PT-symmetric mode-locking. Opt. Lett. 41, 4518\u20134521 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1364\/OL.41.004518\" data-track-item_id=\"10.1364\/OL.41.004518\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1364%2FOL.41.004518\" aria-label=\"Article reference 20\" data-doi=\"10.1364\/OL.41.004518\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2016OptL...41.4518L\" aria-label=\"ADS reference 20\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 20\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=PT-symmetric%20mode-locking&amp;journal=Opt.%20Lett.&amp;doi=10.1364%2FOL.41.004518&amp;volume=41&amp;pages=4518-4521&amp;publication_year=2016&amp;author=Longhi%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR21\">Haus, H. Mode-locking of lasers. IEEE J. Select. Top. Quantum Electron. 6, 1173\u20131185 (2000).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1109\/2944.902165\" data-track-item_id=\"10.1109\/2944.902165\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1109%2F2944.902165\" aria-label=\"Article reference 21\" data-doi=\"10.1109\/2944.902165\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2000IJSTQ...6.1173H\" aria-label=\"ADS reference 21\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 21\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Mode-locking%20of%20lasers&amp;journal=IEEE%20J.%20Select.%20Top.%20Quantum%20Electron.&amp;doi=10.1109%2F2944.902165&amp;volume=6&amp;pages=1173-1185&amp;publication_year=2000&amp;author=Haus%2CH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR22\">Keller, U. Recent developments in compact ultrafast lasers. Nature 424, 831\u2013838 (2003).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/nature01938\" data-track-item_id=\"10.1038\/nature01938\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fnature01938\" aria-label=\"Article reference 22\" data-doi=\"10.1038\/nature01938\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2003Natur.424..831K\" aria-label=\"ADS reference 22\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 22\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Recent%20developments%20in%20compact%20ultrafast%20lasers&amp;journal=Nature&amp;doi=10.1038%2Fnature01938&amp;volume=424&amp;pages=831-838&amp;publication_year=2003&amp;author=Keller%2CU\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR23\">Fortier, T. &amp; Baumann, E. 20 years of developments in optical frequency comb technology and applications. Commun. Phys. 2, 153 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s42005-019-0249-y\" data-track-item_id=\"10.1038\/s42005-019-0249-y\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs42005-019-0249-y\" aria-label=\"Article reference 23\" data-doi=\"10.1038\/s42005-019-0249-y\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 23\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=20%20years%20of%20developments%20in%20optical%20frequency%20comb%20technology%20and%20applications&amp;journal=Commun.%20Phys.&amp;doi=10.1038%2Fs42005-019-0249-y&amp;volume=2&amp;publication_year=2019&amp;author=Fortier%2CT&amp;author=Baumann%2CE\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR24\">Bao, Q. et al. Atomic-layer graphene as a saturable absorber for ultrafast pulsed lasers. Adv. Funct. Mater. 19, 3077\u20133083 (2009).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/adfm.200901007\" data-track-item_id=\"10.1002\/adfm.200901007\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Fadfm.200901007\" aria-label=\"Article reference 24\" data-doi=\"10.1002\/adfm.200901007\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 24\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Atomic-layer%20graphene%20as%20a%20saturable%20absorber%20for%20ultrafast%20pulsed%20lasers&amp;journal=Adv.%20Funct.%20Mater.&amp;doi=10.1002%2Fadfm.200901007&amp;volume=19&amp;pages=3077-3083&amp;publication_year=2009&amp;author=Bao%2CQ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR25\">Haus, H. A., Fujimoto, J. G. &amp; Ippen, E. P. Structures for additive pulse mode locking. J. Opt. Soc. Am. B 8, 2068\u20132076 (1991).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1364\/JOSAB.8.002068\" data-track-item_id=\"10.1364\/JOSAB.8.002068\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1364%2FJOSAB.8.002068\" aria-label=\"Article reference 25\" data-doi=\"10.1364\/JOSAB.8.002068\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1991OSAJB...8.2068H\" aria-label=\"ADS reference 25\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 25\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Structures%20for%20additive%20pulse%20mode%20locking&amp;journal=J.%20Opt.%20Soc.%20Am.%20B&amp;doi=10.1364%2FJOSAB.8.002068&amp;volume=8&amp;pages=2068-2076&amp;publication_year=1991&amp;author=Haus%2CHA&amp;author=Fujimoto%2CJG&amp;author=Ippen%2CEP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR26\">Keller, U., Knox, W. H. &amp; Roskos, H. Coupled-cavity resonant passive mode-locked Ti:sapphire laser. Opt. Lett. 15, 1377\u20131379 (1990).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1364\/OL.15.001377\" data-track-item_id=\"10.1364\/OL.15.001377\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1364%2FOL.15.001377\" aria-label=\"Article reference 26\" data-doi=\"10.1364\/OL.15.001377\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1990OptL...15.1377K\" aria-label=\"ADS reference 26\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 26\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Coupled-cavity%20resonant%20passive%20mode-locked%20Ti%3Asapphire%20laser&amp;journal=Opt.%20Lett.&amp;doi=10.1364%2FOL.15.001377&amp;volume=15&amp;pages=1377-1379&amp;publication_year=1990&amp;author=Keller%2CU&amp;author=Knox%2CWH&amp;author=Roskos%2CH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR27\">Tamura, K., Haus, H. &amp; Ippen, E. Self-starting additive pulse mode-locked erbium fibre ring laser. Electron. Lett. 28, 2226\u20132228 (1992).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1049\/el:19921430\" data-track-item_id=\"10.1049\/el:19921430\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1049%2Fel%3A19921430\" aria-label=\"Article reference 27\" data-doi=\"10.1049\/el:19921430\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1992ElL....28.2226T\" aria-label=\"ADS reference 27\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 27\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Self-starting%20additive%20pulse%20mode-locked%20erbium%20fibre%20ring%20laser&amp;journal=Electron.%20Lett.&amp;doi=10.1049%2Fel%3A19921430&amp;volume=28&amp;pages=2226-2228&amp;publication_year=1992&amp;author=Tamura%2CK&amp;author=Haus%2CH&amp;author=Ippen%2CE\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR28\">Duling, I. N. All-fiber ring soliton laser mode locked with a nonlinear mirror. Opt. Lett. 16, 539\u2013541 (1991).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1364\/OL.16.000539\" data-track-item_id=\"10.1364\/OL.16.000539\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1364%2FOL.16.000539\" aria-label=\"Article reference 28\" data-doi=\"10.1364\/OL.16.000539\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1991OptL...16..539D\" aria-label=\"ADS reference 28\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 28\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=All-fiber%20ring%20soliton%20laser%20mode%20locked%20with%20a%20nonlinear%20mirror&amp;journal=Opt.%20Lett.&amp;doi=10.1364%2FOL.16.000539&amp;volume=16&amp;pages=539-541&amp;publication_year=1991&amp;author=Duling%2CIN\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR29\">Malomed, B. A. Solitary pulses in linearly coupled Ginzburg-Landau equations. Chaos 17, 037117 (2007).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/1.2771078\" data-track-item_id=\"10.1063\/1.2771078\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F1.2771078\" aria-label=\"Article reference 29\" data-doi=\"10.1063\/1.2771078\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2007Chaos..17c7117M\" aria-label=\"ADS reference 29\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"mathscinet reference\" data-track-action=\"mathscinet reference\" href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2356988\" aria-label=\"MathSciNet reference 29\" target=\"_blank\">MathSciNet<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 29\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Solitary%20pulses%20in%20linearly%20coupled%20Ginzburg-Landau%20equations&amp;journal=Chaos&amp;doi=10.1063%2F1.2771078&amp;volume=17&amp;publication_year=2007&amp;author=Malomed%2CBA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR30\">Imamura, R., Fujii, S., Nakashima, A. &amp; Tanabe, T. Exceptional point proximity-driven mode-locking in coupled microresonators. Opt. Express 32, 22280\u201322290 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1364\/OE.524556\" data-track-item_id=\"10.1364\/OE.524556\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1364%2FOE.524556\" aria-label=\"Article reference 30\" data-doi=\"10.1364\/OE.524556\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2024OExpr..3222280I\" aria-label=\"ADS reference 30\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 30\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Exceptional%20point%20proximity-driven%20mode-locking%20in%20coupled%20microresonators&amp;journal=Opt.%20Express&amp;doi=10.1364%2FOE.524556&amp;volume=32&amp;pages=22280-22290&amp;publication_year=2024&amp;author=Imamura%2CR&amp;author=Fujii%2CS&amp;author=Nakashima%2CA&amp;author=Tanabe%2CT\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR31\">Van Gasse, K. et al. Recent advances in the photonic integration of mode-locked laser diodes. IEEE Photon. Technol. Lett. 31, 1870\u20131873 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1109\/LPT.2019.2945973\" data-track-item_id=\"10.1109\/LPT.2019.2945973\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1109%2FLPT.2019.2945973\" aria-label=\"Article reference 31\" data-doi=\"10.1109\/LPT.2019.2945973\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2019IPTL...31.1870V\" aria-label=\"ADS reference 31\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 31\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Recent%20advances%20in%20the%20photonic%20integration%20of%20mode-locked%20laser%20diodes&amp;journal=IEEE%20Photon.%20Technol.%20Lett.&amp;doi=10.1109%2FLPT.2019.2945973&amp;volume=31&amp;pages=1870-1873&amp;publication_year=2019&amp;author=Gasse%2CK\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR32\">Okawachi, Y., Kim, B. Y., Lipson, M. &amp; Gaeta, A. L. Chip-scale frequency combs for data communications in computing systems. Optica 10, 977\u2013995 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1364\/OPTICA.460175\" data-track-item_id=\"10.1364\/OPTICA.460175\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1364%2FOPTICA.460175\" aria-label=\"Article reference 32\" data-doi=\"10.1364\/OPTICA.460175\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2023Optic..10..977O\" aria-label=\"ADS reference 32\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 32\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Chip-scale%20frequency%20combs%20for%20data%20communications%20in%20computing%20systems&amp;journal=Optica&amp;doi=10.1364%2FOPTICA.460175&amp;volume=10&amp;pages=977-995&amp;publication_year=2023&amp;author=Okawachi%2CY&amp;author=Kim%2CBY&amp;author=Lipson%2CM&amp;author=Gaeta%2CAL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR33\">H\u00e4nsel, W. et al. All polarization-maintaining fiber laser architecture for robust femtosecond pulse generation. Appl. Phys. B 123, 41 (2017).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"noopener nofollow\" data-track-label=\"10.1007\/s00340-016-6598-2\" data-track-item_id=\"10.1007\/s00340-016-6598-2\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/link.springer.com\/doi\/10.1007\/s00340-016-6598-2\" aria-label=\"Article reference 33\" data-doi=\"10.1007\/s00340-016-6598-2\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2017ApPhB.123...41H\" aria-label=\"ADS reference 33\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 33\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=All%20polarization-maintaining%20fiber%20laser%20architecture%20for%20robust%20femtosecond%20pulse%20generation&amp;journal=Appl.%20Phys.%20B&amp;doi=10.1007%2Fs00340-016-6598-2&amp;volume=123&amp;publication_year=2017&amp;author=H%C3%A4nsel%2CW\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR34\">Yelo-Sarri\u00f3n, J., Arab\u00ed, C. M., Parra-Rivas, P., Leo, F. &amp; Gorza, S.-P. Kerr cavity solitons in active \\({\\mathcal{P}}{\\mathcal{T}}\\)-symmetric dimers. In 2023 Conference on Lasers and Electro-Optics Europe &amp; European Quantum Electronics Conference (CLEO\/Europe-EQEC) <a href=\"https:\/\/doi.org\/10.1109\/CLEO\/Europe-EQEC57999.2023.10232417\" data-track=\"click_references\" data-track-action=\"external reference\" data-track-value=\"external reference\" data-track-label=\"10.1109\/CLEO\/Europe-EQEC57999.2023.10232417\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/doi.org\/10.1109\/CLEO\/Europe-EQEC57999.2023.10232417<\/a> (IEEE, 2023).<\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR35\">Grelu, P. &amp; Akhmediev, N. Dissipative solitons for mode-locked lasers. Nat. Photon. 6, 84\u201392 (2012).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/nphoton.2011.345\" data-track-item_id=\"10.1038\/nphoton.2011.345\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fnphoton.2011.345\" aria-label=\"Article reference 35\" data-doi=\"10.1038\/nphoton.2011.345\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2012NaPho...6...84G\" aria-label=\"ADS reference 35\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 35\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Dissipative%20solitons%20for%20mode-locked%20lasers&amp;journal=Nat.%20Photon.&amp;doi=10.1038%2Fnphoton.2011.345&amp;volume=6&amp;pages=84-92&amp;publication_year=2012&amp;author=Grelu%2CP&amp;author=Akhmediev%2CN\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR36\">Kutz, J. N. Mode-locked soliton lasers. SIAM Rev. 48, 629\u2013678 (2006).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1137\/S0036144504446357\" data-track-item_id=\"10.1137\/S0036144504446357\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1137%2FS0036144504446357\" aria-label=\"Article reference 36\" data-doi=\"10.1137\/S0036144504446357\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2006SIAMR..48..629K\" aria-label=\"ADS reference 36\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"mathscinet reference\" data-track-action=\"mathscinet reference\" href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2278444\" aria-label=\"MathSciNet reference 36\" target=\"_blank\">MathSciNet<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 36\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Mode-locked%20soliton%20lasers&amp;journal=SIAM%20Rev.&amp;doi=10.1137%2FS0036144504446357&amp;volume=48&amp;pages=629-678&amp;publication_year=2006&amp;author=Kutz%2CJN\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR37\">Kelly, S. Characteristic sideband instability of periodically amplified average soliton. Electron. Lett. 28, 806 (1992).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1049\/el:19920508\" data-track-item_id=\"10.1049\/el:19920508\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1049%2Fel%3A19920508\" aria-label=\"Article reference 37\" data-doi=\"10.1049\/el:19920508\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1992ElL....28..806K\" aria-label=\"ADS reference 37\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 37\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Characteristic%20sideband%20instability%20of%20periodically%20amplified%20average%20soliton&amp;journal=Electron.%20Lett.&amp;doi=10.1049%2Fel%3A19920508&amp;volume=28&amp;publication_year=1992&amp;author=Kelly%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR38\">Leisman, K. P., Zhou, D., Banks, J. W., Kova\u010di\u010d, G. &amp; Cai, D. Effective dispersion in the focusing nonlinear Schr\u00f6dinger equation. Phys. Rev. E 100, 022215 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevE.100.022215\" data-track-item_id=\"10.1103\/PhysRevE.100.022215\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevE.100.022215\" aria-label=\"Article reference 38\" data-doi=\"10.1103\/PhysRevE.100.022215\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2019PhRvE.100b2215L\" aria-label=\"ADS reference 38\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"mathscinet reference\" data-track-action=\"mathscinet reference\" href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=4000495\" aria-label=\"MathSciNet reference 38\" target=\"_blank\">MathSciNet<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 38\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Effective%20dispersion%20in%20the%20focusing%20nonlinear%20Schr%C3%B6dinger%20equation&amp;journal=Phys.%20Rev.%20E&amp;doi=10.1103%2FPhysRevE.100.022215&amp;volume=100&amp;publication_year=2019&amp;author=Leisman%2CKP&amp;author=Zhou%2CD&amp;author=Banks%2CJW&amp;author=Kova%C4%8Di%C4%8D%2CG&amp;author=Cai%2CD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR39\">Tikan, A. et al. Emergent nonlinear phenomena in a driven dissipative photonic dimer. Nat. Phys. 17, 604\u2013610 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41567-020-01159-y\" data-track-item_id=\"10.1038\/s41567-020-01159-y\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41567-020-01159-y\" aria-label=\"Article reference 39\" data-doi=\"10.1038\/s41567-020-01159-y\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 39\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Emergent%20nonlinear%20phenomena%20in%20a%20driven%20dissipative%20photonic%20dimer&amp;journal=Nat.%20Phys.&amp;doi=10.1038%2Fs41567-020-01159-y&amp;volume=17&amp;pages=604-610&amp;publication_year=2021&amp;author=Tikan%2CA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR40\">Mili\u00e1n, C., Kartashov, Y. V., Skryabin, D. V. &amp; Torner, L. Cavity solitons in a microring dimer with gain and loss. Opt. Lett. 43, 979\u2013982 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1364\/OL.43.000979\" data-track-item_id=\"10.1364\/OL.43.000979\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1364%2FOL.43.000979\" aria-label=\"Article reference 40\" data-doi=\"10.1364\/OL.43.000979\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2018OptL...43..979M\" aria-label=\"ADS reference 40\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 40\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Cavity%20solitons%20in%20a%20microring%20dimer%20with%20gain%20and%20loss&amp;journal=Opt.%20Lett.&amp;doi=10.1364%2FOL.43.000979&amp;volume=43&amp;pages=979-982&amp;publication_year=2018&amp;author=Mili%C3%A1n%2CC&amp;author=Kartashov%2CYV&amp;author=Skryabin%2CDV&amp;author=Torner%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR41\">Yelo-Sarri\u00f3n, J. et al. Self-pulsing in driven-dissipative photonic Bose-Hubbard dimers. Phys. Rev. Res. 3, L042031 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevResearch.3.L042031\" data-track-item_id=\"10.1103\/PhysRevResearch.3.L042031\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevResearch.3.L042031\" aria-label=\"Article reference 41\" data-doi=\"10.1103\/PhysRevResearch.3.L042031\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 41\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Self-pulsing%20in%20driven-dissipative%20photonic%20Bose-Hubbard%20dimers&amp;journal=Phys.%20Rev.%20Res.&amp;doi=10.1103%2FPhysRevResearch.3.L042031&amp;volume=3&amp;publication_year=2021&amp;author=Yelo-Sarri%C3%B3n%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR42\">Bao, H. et al. Laser cavity-soliton microcombs. Nat. Photon. 13, 384\u2013389 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41566-019-0379-5\" data-track-item_id=\"10.1038\/s41566-019-0379-5\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41566-019-0379-5\" aria-label=\"Article reference 42\" data-doi=\"10.1038\/s41566-019-0379-5\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2019NaPho..13..384B\" aria-label=\"ADS reference 42\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 42\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Laser%20cavity-soliton%20microcombs&amp;journal=Nat.%20Photon.&amp;doi=10.1038%2Fs41566-019-0379-5&amp;volume=13&amp;pages=384-389&amp;publication_year=2019&amp;author=Bao%2CH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR43\">Letsou, T. P. et al. Hybridized soliton lasing in coupled semiconductor lasers. Phys. Rev. Lett. 134, 023802 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.134.023802\" data-track-item_id=\"10.1103\/PhysRevLett.134.023802\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.134.023802\" aria-label=\"Article reference 43\" data-doi=\"10.1103\/PhysRevLett.134.023802\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2025PhRvL.134b3802L\" aria-label=\"ADS reference 43\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 43\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Hybridized%20soliton%20lasing%20in%20coupled%20semiconductor%20lasers&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.134.023802&amp;volume=134&amp;publication_year=2025&amp;author=Letsou%2CTP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR44\">Lau, K. Y. et al. Development of figure-of-nine laser cavity for mode-locked fiber lasers: a review. Laser Photon. Rev. 19, 2301239 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1002\/lpor.202301239\" data-track-item_id=\"10.1002\/lpor.202301239\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1002%2Flpor.202301239\" aria-label=\"Article reference 44\" data-doi=\"10.1002\/lpor.202301239\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2025LPRv...1901239L\" aria-label=\"ADS reference 44\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 44\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Development%20of%20figure-of-nine%20laser%20cavity%20for%20mode-locked%20fiber%20lasers%3A%20a%20review&amp;journal=Laser%20Photon.%20Rev.&amp;doi=10.1002%2Flpor.202301239&amp;volume=19&amp;publication_year=2024&amp;author=Lau%2CKY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR45\">Yang, J. et al. Titanium:sapphire-on-insulator integrated lasers and amplifiers. Nature 630, 853\u2013859 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41586-024-07457-2\" data-track-item_id=\"10.1038\/s41586-024-07457-2\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41586-024-07457-2\" aria-label=\"Article reference 45\" data-doi=\"10.1038\/s41586-024-07457-2\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2024Natur.630..853Y\" aria-label=\"ADS reference 45\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 45\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Titanium%3Asapphire-on-insulator%20integrated%20lasers%20and%20amplifiers&amp;journal=Nature&amp;doi=10.1038%2Fs41586-024-07457-2&amp;volume=630&amp;pages=853-859&amp;publication_year=2024&amp;author=Yang%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR46\">Liu, Y. et al. A photonic integrated circuit-based erbium-doped amplifier. Science 376, 1309\u20131313 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/science.abo2631\" data-track-item_id=\"10.1126\/science.abo2631\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fscience.abo2631\" aria-label=\"Article reference 46\" data-doi=\"10.1126\/science.abo2631\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2022Sci...376.1309L\" aria-label=\"ADS reference 46\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 46\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=A%20photonic%20integrated%20circuit-based%20erbium-doped%20amplifier&amp;journal=Science&amp;doi=10.1126%2Fscience.abo2631&amp;volume=376&amp;pages=1309-1313&amp;publication_year=2022&amp;author=Liu%2CY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR47\">Shtyrkova, K. et al. Integrated CMOS-compatible Q-switched mode-locked lasers at 1,900\u2009nm with an on-chip artificial saturable absorber. Opt. Express 27, 3542\u20133556 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1364\/OE.27.003542\" data-track-item_id=\"10.1364\/OE.27.003542\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1364%2FOE.27.003542\" aria-label=\"Article reference 47\" data-doi=\"10.1364\/OE.27.003542\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2019OExpr..27.3542S\" aria-label=\"ADS reference 47\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 47\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Integrated%20CMOS-compatible%20Q-switched%20mode-locked%20lasers%20at%201%2C900%E2%80%89nm%20with%20an%20on-chip%20artificial%20saturable%20absorber&amp;journal=Opt.%20Express&amp;doi=10.1364%2FOE.27.003542&amp;volume=27&amp;pages=3542-3556&amp;publication_year=2019&amp;author=Shtyrkova%2CK\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR48\">Hermans, A., Van Gasse, K. &amp; Kuyken, B. On-chip optical comb sources. APL Photon. 7, 100901 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/5.0105164\" data-track-item_id=\"10.1063\/5.0105164\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F5.0105164\" aria-label=\"Article reference 48\" data-doi=\"10.1063\/5.0105164\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2022APLP....7j0901H\" aria-label=\"ADS reference 48\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 48\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=On-chip%20optical%20comb%20sources&amp;journal=APL%20Photon.&amp;doi=10.1063%2F5.0105164&amp;volume=7&amp;publication_year=2022&amp;author=Hermans%2CA&amp;author=Gasse%2CK&amp;author=Kuyken%2CB\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR49\">Hohimer, J. P., Vawter, G. A. &amp; Craft, D. C. Unidirectional operation in a semiconductor ring diode laser. Appl. Phys. Lett. 62, 1185\u20131187 (1993).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1063\/1.108728\" data-track-item_id=\"10.1063\/1.108728\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1063%2F1.108728\" aria-label=\"Article reference 49\" data-doi=\"10.1063\/1.108728\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1993ApPhL..62.1185H\" aria-label=\"ADS reference 49\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 49\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Unidirectional%20operation%20in%20a%20semiconductor%20ring%20diode%20laser&amp;journal=Appl.%20Phys.%20Lett.&amp;doi=10.1063%2F1.108728&amp;volume=62&amp;pages=1185-1187&amp;publication_year=1993&amp;author=Hohimer%2CJP&amp;author=Vawter%2CGA&amp;author=Craft%2CDC\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR50\">Ren, J. et al. Unidirectional light emission in \\({\\mathcal{P}}{\\mathcal{T}}\\)-symmetric microring lasers. Opt. Express 26, 27153\u201327160 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1364\/OE.26.027153\" data-track-item_id=\"10.1364\/OE.26.027153\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1364%2FOE.26.027153\" aria-label=\"Article reference 50\" data-doi=\"10.1364\/OE.26.027153\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2018OExpr..2627153R\" aria-label=\"ADS reference 50\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 50\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Unidirectional%20light%20emission%20in%20%24%24%7B%5Cmathcal%7BP%7D%7D%7B%5Cmathcal%7BT%7D%7D%24%24%20P%20T%20-symmetric%20microring%20lasers&amp;journal=Opt.%20Express&amp;doi=10.1364%2FOE.26.027153&amp;volume=26&amp;pages=27153-27160&amp;publication_year=2018&amp;author=Ren%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR51\">Yelo-Sarri\u00f3n, J., Leo, F. &amp; Gorza, S.-P. Dissipative solitons in mode-locked parity-time symmetric lasers. Zenodo <a href=\"https:\/\/zenodo.org\/records\/17985965\" data-track=\"click_references\" data-track-action=\"external reference\" data-track-value=\"external reference\" data-track-label=\"https:\/\/zenodo.org\/records\/17985965\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/zenodo.org\/records\/17985965<\/a> (2025).<\/p>\n","protected":false},"excerpt":{"rendered":"Bender, C. M. &amp; Boettcher, S. Real spectra in non-Hermitian Hamiltonians having \\({\\mathcal{P}}{\\mathcal{T}}\\) symmetry. Phys. Rev. Lett. 80,&hellip;\n","protected":false},"author":2,"featured_media":277890,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[24],"tags":[21705,1437,61,60,90734,19950,248,5335,82,134813],"class_list":{"0":"post-277889","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-physics","8":"tag-applied-and-technical-physics","9":"tag-general","10":"tag-ie","11":"tag-ireland","12":"tag-mode-locked-lasers","13":"tag-nonlinear-optics","14":"tag-physics","15":"tag-quantum-physics","16":"tag-science","17":"tag-solitons"},"_links":{"self":[{"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/posts\/277889","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/comments?post=277889"}],"version-history":[{"count":0,"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/posts\/277889\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/media\/277890"}],"wp:attachment":[{"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/media?parent=277889"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/categories?post=277889"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/tags?post=277889"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}