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We show that the combination of charge and dipole conservation---characteristic of fracton systems---leads to an extensive fragmentation of the Hilbert space, which in turn can lead to a breakdown of thermalization.
1901
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Masaaki Nakamura, Zheng-Yuan Wang, and Emil J. Bergholtz, “Exactly solvable fermion chain describing a ν = 1 / 3 \nu=1/3 fractional quantum hall state,” Phys. Rev. Lett. 109
2012
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Igor Lesanovsky and Hosho Katsura, “Interacting fibonacci anyons in a rydberg gas,” Phys. Rev. A 86
2012
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Maksym Serbyn, Z. Papić, and Dmitry A. Abanin, “Local conservation laws and the structure of the many-body localized states,” Phys. Rev. Lett. 111
2013
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Sebastian Hild, Takeshi Fukuhara, Peter Schauß, Johannes Zeiher, Michael Knap, Eugene Demler, Immanuel Bloch, and Christian Gross, “Far-from-equilibrium spin transport in heisenberg quantum magnets,” Phys. Rev. Lett. 113
2014
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Hyungwon Kim, Tatsuhiko N. Ikeda, and David A. Huse, “Testing whether all eigenstates obey the eigenstate thermalization hypothesis,” Phys. Rev. E 90
2014
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David A. Huse, Rahul Nandkishore, and Vadim Oganesyan, “Phenomenology of fully many-body-localized systems,” Phys. Rev. B 90
2014
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2014
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S. Sorg, L. Vidmar, L. Pollet, and F. Heidrich-Meisner, “Relaxation and thermalization in the one-dimensional bose-hubbard model: A case study for the interaction quantum quench from the atomic limit,” Phys. Rev. A 90
2014
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2017
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Gábor B. Halász, Timothy H. Hsieh, and Leon Balents, “Fracton topological phases from strongly coupled spin chains,” Phys. Rev. Lett. 119
2017
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Abhinav Prem, Jeongwan Haah, and Rahul Nandkishore, “Glassy quantum dynamics in translation invariant fracton models,” Phys. Rev. B 95
2017
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A Bohrdt, C B Mendl, M Endres, and M Knap, “Scrambling and thermalization in a diffusive quantum many-body system,” New Journal of Physics 19
2017
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Yijun Tang, Wil Kao, Kuan-Yu Li, Sangwon Seo, Krishnanand Mallayya, Marcos Rigol, Sarang Gopalakrishnan, and Benjamin L. Lev, “Thermalization near integrability in a dipolar quantum newton’s cradle,” Phys. Rev. X 8
2018
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2018
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Marlon Brenes, Marcello Dalmonte, Markus Heyl, and Antonello Scardicchio, “Many-body localization dynamics from gauge invariance,” Phys. Rev. Lett. 120
2018
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2018
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2018
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Zhihao Lan, Merlijn van Horssen, Stephen Powell, and Juan P. Garrahan, “Quantum slow relaxation and metastability due to dynamical constraints,” Phys. Rev. Lett. 121
2018
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2018
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2018
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Wilbur Shirley, Kevin Slagle, Zhenghan Wang, and Xie Chen, “Fracton models on general three-dimensional manifolds,” Phys. Rev. X 8
2018
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M. Pretko, “The Fracton Gauge Principle,” ArXiv e-prints (2018), arXiv:1807.11479 [cond-mat.str-el]
2018
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2018
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2018
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2018
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Daniel Bulmash and Maissam Barkeshli, “Higgs mechanism in higher-rank symmetric u(1) gauge theories,” Phys. Rev. B 97
2018
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Han Ma, Michael Hermele, and Xie Chen, “Fracton topological order from the higgs and partial-confinement mechanisms of rank-two gauge theory,” Phys. Rev. B 98
2018
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C. W. von Keyserlingk, Tibor Rakovszky, Frank Pollmann, and S. L. Sondhi, “Operator hydrodynamics, otocs, and entanglement growth in systems without conservation laws,” Phys. Rev. X 8
2018
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Adam Nahum, Sagar Vijay, and Jeongwan Haah, “Operator spreading in random unitary circuits,” Phys. Rev. X 8
2018
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Tibor Rakovszky, Frank Pollmann, and C. W. von Keyserlingk, “Diffusive hydrodynamics of out-of-time-ordered correlators with charge conservation,” Phys. Rev. X 8
2018
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Vedika Khemani, Ashvin Vishwanath, and David A. Huse, “Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws,” Phys. Rev. X 8
2018
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M. Schulz, C. A. Hooley, R. Moessner, and F. Pollmann, “Stark many-body localization,” Phys. Rev. Lett. 122
2019
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Shriya Pai, Michael Pretko, and Rahul M. Nandkishore, “Localization in fractonic random circuits,” Phys. Rev. X 9
2019
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Evert van Nieuwenburg, Yuval Baum, and Gil Refael, “From bloch oscillations to many-body localization in clean interacting systems,” Proceedings of the National Academy of Sciences 116
2019
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