{"id":677992,"date":"2026-11-07T20:12:19","date_gmt":"2026-11-07T20:12:19","guid":{"rendered":"https:\/\/www.newsbeep.com\/ie\/677992\/"},"modified":"2026-11-07T20:12:19","modified_gmt":"2026-11-07T20:12:19","slug":"coherence-enhancement-through-equilibration-to-near-zero-optical-temperatures","status":"publish","type":"post","link":"https:\/\/www.newsbeep.com\/ie\/677992\/","title":{"rendered":"Coherence enhancement through equilibration to near-zero optical temperatures"},"content":{"rendered":"

Walther, A. Radiometry and coherence. J. Opt. Soc. Am. 58, 1256\u20131259 (1968).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Littlejohn, R. G. & Winston, R. Corrections to classical radiometry. J. Opt. Soc. Am. A 10, 2024\u20132037 (1993).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Simon, R., Sudarshan, E. C. G. & Mukunda, N. Gaussian\u2013Wigner distributions in quantum mechanics and optics. Phys. Rev. A 36, 3868\u20133880 (1987).<\/p>\n

Article<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Gase, R. Methods of quantum mechanics applied to partially coherent light beams. J. Opt. Soc. Am. A 11, 2121\u20132129 (1994).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Kagalwala, K. H., Di Giuseppe, G., Abouraddy, A. F. & Saleh, B. E. A. Bell\u2019s measure in classical optical coherence. Nat. Photon. 7, 72\u201378 (2013).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Roques-Carmes, C., Fan, S. & Miller, D. A. B. Measuring, processing, and generating partially coherent light with self-configuring optics. Light Sci. Appl. 13, 260 (2024).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Saleh, B. E. A. Quantum Photonics: Bimodes, Qubits, and Biphotons (Springer, 2025).<\/p>\n

Pan, J.-W., Gasparoni, S., Ursin, R., Weihs, G. & Zeilinger, A. Experimental entanglement purification of arbitrary unknown states. Nature 423, 417\u2013422 (2003).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Kie\u00dflich, G., Schaller, G., Emary, C. & Brandes, T. Charge qubit purification by an electronic feedback loop. Phys. Rev. Lett. 107, 050501 (2011).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Jackson, D. M. et al. Optimal purification of a spin ensemble by quantum-algorithmic feedback. Phys. Rev. X 12, 031014 (2022).<\/p>\n


\n Google Scholar<\/a>\u00a0\n <\/p>\n

Liouville, J. Sur la th\u00e9orie de la variation des constantes arbitraires. J. Math. Pures Appl. 3, 342\u2013349 (1838).<\/p>\n


\n Google Scholar<\/a>\u00a0\n <\/p>\n

Buon, J. Beam phase space and emittance. In CAS\u2013CERN Accelerator School: 5th General Accelerator Physics Course (ed. Turner, S.) 89\u2013116 (CERN, 1994).<\/p>\n

Jones, D. J. et al. Carrier\u2013envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis. Science 288, 635\u2013639 (2000).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Bennett, C. H. et al. Purification of noisy entanglement and faithful teleportation via noisy channels. Phys. Rev. Lett. 76, 722\u2013725 (1996).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Terhal, B. M. Quantum error correction for quantum memories. Rev. Mod. Phys. 87, 307\u2013346 (2015).<\/p>\n

Article<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Schleier-Smith, M. H., Leroux, I. D. & Vuleti\u0107, V. Squeezing the collective spin of a dilute atomic ensemble by cavity feedback. Phys. Rev. A 81, 021804 (2010).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Hosten, O., Engelsen, N. J., Krishnakumar, R. & Kasevich, M. A. Measurement noise 100 times lower than the quantum-projection limit using entangled atoms. Nature 529, 505\u2013508 (2016).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Poggio, M., Degen, C. L., Mamin, H. J. & Rugar, D. Feedback cooling of a cantilever\u2019s fundamental mode below 5\u2009mK. Phys. Rev. Lett. 99, 017201 (2007).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Fan, T. Y. Laser beam combining for high-power, high-radiance sources. IEEE J. Sel. Top. Quantum Electron. 11, 567\u2013577 (2005).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Zervas, M. N. & Codemard, C. A. High power fiber lasers: a review. IEEE J. Sel. Top. Quantum Electron. 20, 219\u2013241 (2014).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

McComb, T. S., Shah, L., Sims, R. A., Sudesh, V. & Richardson, M. High power tunable thulium fiber laser with volume Bragg grating spectral control. In Fiber Lasers VII: Technology, Systems, and Applications (eds Tankala, K. & Dawson, J. W.) 383\u2013389 (SPIE, 2010).<\/p>\n

Eckmann, J.-P. & Ruelle, D. Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 57, 617\u2013656 (1985).<\/p>\n

Article<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Wu, F. O., Hassan, A. U. & Christodoulides, D. N. Thermodynamic theory of highly multimoded nonlinear optical systems. Nat. Photon. 13, 776\u2013782 (2019).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Pourbeyram, H. et al. Direct observations of thermalization to a Rayleigh\u2013Jeans distribution in multimode optical fibres. Nat. Phys. 18, 685\u2013690 (2022).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Marques Muniz, A. L. et al. Observation of photon\u2013photon thermodynamic processes under negative optical temperature conditions. Science 379, 1019\u20131023 (2023).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Kirsch, M. S. et al. Observation of Joule\u2013Thomson photon-gas expansion. Nat. Phys. 21, 214\u2013220 (2025).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Dinani, H. M. et al. Universal routing of light via optical thermodynamics. Nat. Photon. 19, 1116\u20131121 (2025).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Ren, H. et al. Photon\u2013photon chemical thermodynamics of frequency conversion processes in highly multimode systems. Light Sci. Appl. 14, 188 (2025).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Makris, K. G., Wu, F. O., Jung, P. S. & Christodoulides, D. N. Statistical mechanics of weakly nonlinear optical multimode gases. Opt. Lett. 45, 1651\u20131654 (2020).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Mangini, F., Ferraro, M., Tonello, A., Couderc, V. & Wabnitz, S. High-temperature wave thermalization spoils beam self-cleaning in nonlinear multimode GRIN fibers. Opt. Lett. 48, 4741\u20134744 (2023).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Ferraro, M., Mangini, F., Zitelli, M. & Wabnitz, S. On spatial beam self-cleaning from the perspective of optical wave thermalization in multimode graded-index fibers. Adv. Phys. X 8, 2228018 (2023).<\/p>\n


\n Google Scholar<\/a>\u00a0\n <\/p>\n

Jeon, D. H. et al. Fluctuation statistics of nonlinear optical microcanonical systems. Phys. Rev. Lett. 134, 223805 (2025).<\/p>\n

Article<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Parto, M., Wu, F. O., Jung, P. S., Makris, K. & Christodoulides, D. N. Thermodynamic conditions governing the optical temperature and chemical potential in nonlinear highly multimoded photonic systems. Opt. Lett. 44, 3936\u20133939 (2019).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Zhong, Q., Wu, F. O., Hassan, A. U., El-Ganainy, R. & Christodoulides, D. N. Universality of light thermalization in multimoded nonlinear optical systems. Nat. Commun. 14, 370 (2023).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Regensburger, A. et al. Parity\u2013time synthetic photonic lattices. Nature 488, 167\u2013171 (2012).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Krupa, K. et al. Spatial beam self-cleaning in multimode fibres. Nat. Photon. 11, 237\u2013241 (2017).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Fabert, M. et al. Coherent combining of self-cleaned multimode beams. Sci. Rep. 10, 20481 (2020).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Bennett, C. H. Notes on Landauer\u2019s principle, reversible computation, and Maxwell\u2019s demon. Stud. Hist. Philos. Mod. Phys. 34, 501\u2013510 (2003).<\/p>\n

Article<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Boyd, R. W. & Gaeta, A. L. Chaos in nonlinear optics. In Laser Optics of Condensed Matter: Volume 2 The Physics of Optical Phenomena and Their Use as Probes of Matter (eds Garmire, E. et al.) 99\u2013105 (Springer, 1991).<\/p>\n

Pathria, R. K. & Beale, P. D. Statistical Mechanics (Academic, 2021).<\/p>\n

Picozzi, A. et al. Optical wave turbulence: towards a unified nonequilibrium thermodynamic formulation of statistical nonlinear optics. Phys. Rep. 542, 1\u2013132 (2014).<\/p>\n

Article<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Shi, C., Kottos, T. & Shapiro, B. Controlling optical beam thermalization via band-gap engineering. Phys. Rev. Res. 3, 033219 (2021).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Selim, M. A., Wu, F. O., Pyrialakos, G. G., Khajavikhan, M. & Christodoulides, D. Coherence properties of light in highly multimoded nonlinear parabolic fibers under optical equilibrium conditions. Opt. Lett. 48, 1208\u20131211 (2023).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Mandel, L. & Wolf, E. Optical Coherence and Quantum Optics (1995).<\/p>\n

Agarwal, G. S., Foley, J. T. & Wolf, E. The radiance and phase-space representations of the cross-spectral density operator. Opt. Commun. 62, 67\u201372 (1987).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Zhang, H., Hsu, C. W. & Miller, O. D. Scattering concentration bounds: brightness theorems for waves. Optica 6, 1321\u20131327 (2019).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Blomstedt, K., Set\u00e4l\u00e4, T. & Friberg, A. T. Effective degree of coherence: general theory and application to electromagnetic fields. J. Opt. A 9, 907\u2013919 (2007).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Blomstedt, K., Set\u00e4l\u00e4, T. & Friberg, A. T. Effective degree of coherence: a second look. J. Opt. Soc. Am. A 32, 718\u2013732 (2015).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Gullans, M. J. & Huse, D. A. Dynamical purification phase transition induced by quantum measurements. Phys. Rev. X 10, 041020 (2020).<\/p>\n


\n Google Scholar<\/a>\u00a0\n <\/p>\n

Papenbrock, T. & Weidenm\u00fcller, H. A. Colloquium: random matrices and chaos in nuclear spectra. Rev. Mod. Phys. 79, 997\u20131013 (2007).<\/p>\n

Article<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Rigol, M., Dunjko, V. & Olshanii, M. Thermalization and its mechanism for generic isolated quantum systems. Nature 452, 854\u2013858 (2008).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Trotzky, S. et al. Probing the relaxation towards equilibrium in an isolated strongly correlated one-dimensional Bose gas. Nat. Phys. 8, 325\u2013330 (2012).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Anglin, J. R. & Ketterle, W. Bose\u2013Einstein condensation of atomic gases. Nature 416, 211\u2013218 (2002).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Greiner, M., Bloch, I., Mandel, O., H\u00e4nsch, T. W. & Esslinger, T. Exploring phase coherence in a 2D lattice of Bose\u2013Einstein condensates. Phys. Rev. Lett. 87, 160405 (2001).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Agrawal, G. P. Nonlinear Fiber Optics (Academic, 2012).<\/p>\n

Berman Bradley, A. Data and codes for \u2018Coherence enhancement through equilibration to near-zero optical temperatures\u2019. Zenodo https:\/\/doi.org\/10.5281\/zenodo.15761107<\/a> (2025).<\/p>\n","protected":false},"excerpt":{"rendered":"Walther, A. Radiometry and coherence. J. Opt. Soc. Am. 58, 1256\u20131259 (1968). Article\u00a0 Google Scholar\u00a0 Littlejohn, R. G.…\n","protected":false},"author":2,"featured_media":677993,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[24],"tags":[2301,2300,2304,1440,1437,61,60,2299,2302,19950,45593,2303,248,82,38837,2298,1878],"class_list":["post-677992","post","type-post","status-publish","format-standard","has-post-thumbnail","category-physics","tag-atomic","tag-classical-and-continuum-physics","tag-complex-systems","tag-condensed-matter-physics","tag-general","tag-ie","tag-ireland","tag-mathematical-and-computational-physics","tag-molecular","tag-nonlinear-optics","tag-nonlinear-phenomena","tag-optical-and-plasma-physics","tag-physics","tag-science","tag-statistical-physics","tag-theoretical","tag-thermodynamics"],"_links":{"self":[{"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/posts\/677992","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=677992"}],"version-history":[{"count":0,"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/posts\/677992\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/media\/677993"}],"wp:attachment":[{"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/media?parent=677992"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/categories?post=677992"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.newsbeep.com\/ie\/wp-json\/wp\/v2\/tags?post=677992"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}