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Haldane, F. D. M. Many-particle translational symmetries of two-dimensional electrons at rational Landau-level filling. Phys. Rev. Lett. 55, 2095 https:\/\/doi.org\/10.1103\/PhysRevLett.55.2095<\/a> (1985).<\/p>\n

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

Trugman, S. A. & Kivelson, S. Exact results for the fractional quantum Hall effect with general interactions. Phys. Rev. B 31, 5280 https:\/\/doi.org\/10.1103\/PhysRevB.31.5280<\/a> (1985).<\/p>\n

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

Seidel, A., Fu, H., Lee, D.-H., Leinaas, J. M. & Moore, J. Incompressible quantum liquids and new conservation laws. Phys. Rev. Lett. 95, 266405 https:\/\/doi.org\/10.1103\/PhysRevLett.95.266405<\/a> (2005).<\/p>\n

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

Moudgalya, S., Bernevig, B. A. & Regnault, N. Quantum many-body scars in a Landau level on a thin torus. Phys. Rev. B 102, 195150 https:\/\/doi.org\/10.1103\/PhysRevB.102.195150<\/a> (2020).<\/p>\n

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

Zerba, C., Seidel, A., Pollmann, F. & Knap, M. Emergent fracton hydrodynamics of ultracold atoms in partially filled Landau levels. PRX Quantum 6, 020321 https:\/\/doi.org\/10.1103\/PRXQuantum.6.020321<\/a> (2025).<\/p>\n

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

Wannier, G. H. Dynamics of band electrons in electric and magnetic fields. Rev. Mod. Phys. 34, 645 https:\/\/doi.org\/10.1103\/RevModPhys.34.645<\/a> (1962).<\/p>\n

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

Sachdev, S., Sengupta, K. & Girvin, S. M. Mott insulators in strong electric fields. Phys. Rev. B 66, 075128 https:\/\/doi.org\/10.1103\/PhysRevB.66.075128<\/a> (2002).<\/p>\n

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

Pretko, M. The fracton gauge principle. Phys. Rev. B 98, 115134 https:\/\/doi.org\/10.1103\/PhysRevB.98.115134<\/a> (2018).<\/p>\n

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

Nandkishore, R. M. & Hermele, M. Fractons. Annu. Rev. Condens. Matter Phys. 10, 295 https:\/\/doi.org\/10.1146\/annurev-conmatphys-031218-013604<\/a> (2019).<\/p>\n

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

Pretko, M., Chen, X. & You, Y. Fracton phases of matter. Int. J. Mod. Phys. A 35, 2030003 https:\/\/doi.org\/10.1142\/S0217751X20300033<\/a> (2020).<\/p>\n

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

Gromov, A. & Radzihovsky, L. Colloquium: fracton matter. Rev. Mod. Phys. 96, 011001 https:\/\/doi.org\/10.1103\/RevModPhys.96.011001<\/a> (2024).<\/p>\n

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

Chamon, C. Quantum glassiness in strongly correlated clean systems: an example of topological overprotection. Phys. Rev. Lett. 94, 040402 https:\/\/doi.org\/10.1103\/PhysRevLett.94.040402<\/a> (2005).<\/p>\n

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

Schulz, M., Hooley, C. A., Moessner, R. & Pollmann, F. Stark many-body localization. Phys. Rev. Lett. 122, 040606 https:\/\/doi.org\/10.1103\/PhysRevLett.122.040606<\/a> (2019).<\/p>\n

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

Morong, W. et al. Observation of Stark many-body localization without disorder. Nature 599, 393 https:\/\/doi.org\/10.1038\/s41586-021-03988-0<\/a> (2021).<\/p>\n

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

Guo, Q. et al. Stark many-body localization on a superconducting quantum processor. Phys. Rev. Lett. 127, 240502 https:\/\/doi.org\/10.1103\/PhysRevLett.127.240502<\/a> (2021).<\/p>\n

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

Gromov, A., Lucas, A. & Nandkishore, R. M. Fracton hydrodynamics. Phys. Rev. Res. 2, 033124 https:\/\/doi.org\/10.1103\/PhysRevResearch.2.033124<\/a> (2020).<\/p>\n

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

Feldmeier, J., Sala, P., De Tomasi, G., Pollmann, F. & Knap, M. Anomalous diffusion in dipole- and higher-moment-conserving systems. Phys. Rev. Lett. 125, 245303 https:\/\/doi.org\/10.1103\/PhysRevLett.125.245303<\/a> (2020).<\/p>\n

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

Morningstar, A., Khemani, V. & Huse, D. A. Kinetically constrained freezing transition in a dipole-conserving system. Phys. Rev. B 101, 214205 https:\/\/doi.org\/10.1103\/PhysRevB.101.214205<\/a> (2020).<\/p>\n

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

Zhang, P. Subdiffusion in strongly tilted lattice systems. Phys. Rev. Res. 2, 033129 https:\/\/doi.org\/10.1103\/PhysRevResearch.2.033129<\/a> (2020).<\/p>\n

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

Guardado-Sanchez, E., Morningstar, A., Spar, B. M., Brown, P. T., Huse, D. A. & Bakr, W. S. Subdiffusion and heat transport in a tilted two-dimensional Fermi\u2013Hubbard system. Phys. Rev. X 10, 011042 https:\/\/doi.org\/10.1103\/PhysRevX.10.011042<\/a> (2020).<\/p>\n

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

Feldmeier, J. & Knap, M. Critically slow operator dynamics in constrained many-body systems. Phys. Rev. Lett. 127, 235301 https:\/\/doi.org\/10.1103\/PhysRevLett.127.235301<\/a> (2021).<\/p>\n

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

De Tomasi, G., Hetterich, D., Sala, P. & Pollmann, F. Dynamics of strongly interacting systems: From Fock-space fragmentation to many-body localization. Phys. Rev. B 100, 214313 https:\/\/doi.org\/10.1103\/PhysRevB.100.214313<\/a> (2019).<\/p>\n

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

Sala, P., Rakovszky, T., Verresen, R., Knap, M. & Pollmann, F. Ergodicity breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians. Phys. Rev. X 10, 011047 https:\/\/doi.org\/10.1103\/PhysRevX.10.011047<\/a> (2020).<\/p>\n

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

Yang, Z.-C., Liu, F., Gorshkov, A. V. & Iadecola, T. Hilbert-space fragmentation from strict confinement. Phys. Rev. Lett. 124, 207602 https:\/\/doi.org\/10.1103\/PhysRevLett.124.207602<\/a> (2020).<\/p>\n

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

Khemani, V., Hermele, M. & Nandkishore, R. Localization from Hilbert space shattering: from theory to physical realizations. Phys. Rev. B 101, 174204 https:\/\/doi.org\/10.1103\/PhysRevB.101.174204<\/a> (2020).<\/p>\n

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

Moudgalya, S., Bernevig, B. A. & Regnault, N. Quantum many-body scars and Hilbert space fragmentation: a review of exact results. Rep. Prog. Phys. 85, 086501 https:\/\/doi.org\/10.1088\/1361-6633\/ac73a0<\/a> (2022).<\/p>\n

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

Will, M., Moessner, R. & Pollmann, F. Realization of Hilbert space fragmentation and fracton dynamics in two dimensions. Phys. Rev. Lett. 133, 196301 https:\/\/doi.org\/10.1103\/PhysRevLett.133.196301<\/a> (2024).<\/p>\n

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

Stephen, D. T., Hart, O. & Nandkishore, R. M. Ergodicity breaking provably robust to arbitrary perturbations. Phys. Rev. Lett. 132, 040401 https:\/\/doi.org\/10.1103\/PhysRevLett.132.040401<\/a> (2024).<\/p>\n

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

Honda, K. et al. Observation of slow relaxation due to Hilbert space fragmentation in strongly interacting Bose\u2013Hubbard chains. Sci. Adv. 11, eadv3255 https:\/\/doi.org\/10.1126\/sciadv.adv3255<\/a> (2025).<\/p>\n

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

Scherg, S. et al. Observing non-ergodicity due to kinetic constraints in tilted Fermi\u2013Hubbard chains. Nat. Commun. 12, 4490 https:\/\/doi.org\/10.1038\/s41467-021-24726-0<\/a> (2021).<\/p>\n

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

Kohlert, T. et al. Exploring the regime of fragmentation in strongly tilted Fermi\u2013Hubbard chains. Phys. Rev. Lett. 130, 010201 https:\/\/doi.org\/10.1103\/PhysRevLett.130.010201<\/a> (2023).<\/p>\n

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

Adler, D. et al. Observation of Hilbert space fragmentation and fractonic excitations in 2D. Nature 636, 80 https:\/\/doi.org\/10.1038\/s41586-024-08188-0<\/a> (2024).<\/p>\n

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

Sengupta, K. Phases and dynamics of ultracold Bosons in a tilted optical lattice. in Entanglement in Spin Chains: From Theory to Quantum Technology Applications (eds Bayat, A., Bose, S. & Johannesson, H.) 425\u2013458 https:\/\/doi.org\/10.1007\/978-3-031-03998-0_15<\/a> (Springer, 2022).<\/p>\n

Lake, E., Hermele, M. & Senthil, T. Dipolar Bose\u2013Hubbard model. Phys. Rev. B 106, 064511 https:\/\/doi.org\/10.1103\/PhysRevB.106.064511<\/a> (2022).<\/p>\n

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

Zechmann, P., Altman, E., Knap, M. & Feldmeier, J. Fractonic Luttinger liquids and supersolids in a constrained Bose\u2013Hubbard model. Phys. Rev. B 107, 195131 https:\/\/doi.org\/10.1103\/PhysRevB.107.195131<\/a> (2023).<\/p>\n

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

Lake, E. & Senthil, T. Non-Fermi liquids from kinetic constraints in tilted optical lattices. Phys. Rev. Lett. 131, 043403 https:\/\/doi.org\/10.1103\/PhysRevLett.131.043403<\/a> (2023).<\/p>\n

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

Lake, E., Lee, H.-Y., Han, J. H. & Senthil, T. Dipole condensates in tilted Bose\u2013Hubbard chains. Phys. Rev. B 107, 195132 https:\/\/doi.org\/10.1103\/PhysRevB.107.195132<\/a> (2023).<\/p>\n

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

Boesl, J., Zechmann, P., Feldmeier, J. & Knap, M. Deconfinement dynamics of fractons in tilted Bose\u2013Hubbard chains. Phys. Rev. Lett. 132, 143401 https:\/\/doi.org\/10.1103\/PhysRevLett.132.143401<\/a> (2024).<\/p>\n

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

Kale, A. et al. Schrieffer\u2013Wolff transformations for experiments: dynamically suppressing virtual doublon\u2013hole excitations in a Fermi\u2013Hubbard simulator. Phys. Rev. A 106, 012428 https:\/\/doi.org\/10.1103\/PhysRevA.106.012428<\/a> (2022).<\/p>\n

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

Rakovszky, T., Sala, P., Verresen, R., Knap, M. & Pollmann, F. Statistical localization: from strong fragmentation to strong edge modes. Phys. Rev. B 101, 125126 https:\/\/doi.org\/10.1103\/PhysRevB.101.125126<\/a> (2020).<\/p>\n

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

Pozderac, C., Speck, S., Feng, X., Huse, D. A. & Skinner, B. Exact solution for the filling-induced thermalization transition in a one-dimensional fracton system. Phys. Rev. B 107, 045137 https:\/\/doi.org\/10.1103\/PhysRevB.107.045137<\/a> (2023).<\/p>\n

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

Preiss, P. M. et al. Strongly correlated quantum walks in optical lattices. Science 347, 1229 https:\/\/doi.org\/10.1126\/science.1260364<\/a> (2015).<\/p>\n

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

Hartmann, T., Keck, F., Korsch, H. J. & Mossmann, S. Dynamics of Bloch oscillations. New J. Phys. 6, 2 https:\/\/doi.org\/10.1088\/1367-2630\/6\/1\/002<\/a> (2004).<\/p>\n

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

Movassagh, R. & Shor, P. W. Supercritical entanglement in local systems: counterexample to the area law for quantum matter. Proc. Natl Acad. Sci. USA 113, 13278 https:\/\/doi.org\/10.1073\/pnas.1605716113<\/a> (2016).<\/p>\n

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

Movassagh, R. Entanglement and correlation functions of the quantum Motzkin spin-chain. J. Math. Phys. 58, 031901 https:\/\/doi.org\/10.1063\/1.4977829<\/a> (2017).<\/p>\n

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

Oh, Y.-T., Han, J. H. & Lee, H.-Y. Fractonic quantum quench in dipole-constrained bosons. Phys. Rev. Res. 6, 023269 https:\/\/doi.org\/10.1103\/PhysRevResearch.6.023269<\/a> (2024).<\/p>\n

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

Zhang, S., Lv, C. & Zhou, Q. Synthetic tensor gauge fields. Phys. Rev. Res. 7, 013013 https:\/\/doi.org\/10.1103\/PhysRevResearch.7.013013<\/a> (2025).<\/p>\n

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

Wang, Z. & Hazzard, K. R. A. Particle exchange statistics beyond fermions and bosons. Nature 637, 314 https:\/\/doi.org\/10.1038\/s41586-024-08262-7<\/a> (2025).<\/p>\n

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

Lukin, A. et al. Probing entanglement in a many-body-localized system. Science 364, 256 https:\/\/doi.org\/10.1126\/science.aau0818<\/a> (2019).<\/p>\n

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

Bakr, W. S., Gillen, J. I., Peng, A., F\u00f6lling, S. & Greiner, M. A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice. Nature 462, 74 https:\/\/doi.org\/10.1038\/nature08482<\/a> (2009).<\/p>\n

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

Kaufman, A. M. et al. Quantum thermalization through entanglement in an isolated many-body system. Science 353, 794 https:\/\/doi.org\/10.1126\/science.aaf6725<\/a> (2016).<\/p>\n

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

Sidje, R. B. Expokit: a software package for computing matrix exponentials. ACM Trans. Math. Softw. 24, 130\u2013156 https:\/\/doi.org\/10.1145\/285861.285868<\/a> (1998).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n","protected":false},"excerpt":{"rendered":"Haldane, F. D. M. Many-particle translational symmetries of two-dimensional electrons at rational Landau-level filling. Phys. Rev. Lett. 55,…\n","protected":false},"author":2,"featured_media":953275,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[24],"tags":[8878,49,48,8877,8882,8881,3673,8876,8879,8880,314,25430,66,8875,37795],"class_list":["post-953274","post","type-post","status-publish","format-standard","has-post-thumbnail","category-physics","tag-atomic","tag-ca","tag-canada","tag-classical-and-continuum-physics","tag-complex-systems","tag-condensed-matter-physics","tag-general","tag-mathematical-and-computational-physics","tag-molecular","tag-optical-and-plasma-physics","tag-physics","tag-quantum-simulation","tag-science","tag-theoretical","tag-ultracold-gases"],"_links":{"self":[{"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/posts\/953274","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/comments?post=953274"}],"version-history":[{"count":0,"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/posts\/953274\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/media\/953275"}],"wp:attachment":[{"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/media?parent=953274"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/categories?post=953274"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/tags?post=953274"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}