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While a clean driven system generically absorbs energy until it reaches `infinite temperature', it may do so very slowly exhibiting what is known as a prethermal regime.
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Dmitry A. Abanin, Wojciech De Roeck, Wen Wei Ho, and Fran çois Huveneers, “Effective hamiltonians, prethermalization, and slow energy absorption in periodically driven many-body systems,” Phys. Rev. B 95
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Dominic V. Else, Bela Bauer, and Chetan Nayak, “Prethermal Phases of Matter Protected by Time-Translation Symmetry,” Phys. Rev. X 7
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Vedika Khemani, Achilleas Lazarides, Roderich Moessner, and S. L. Sondhi, “Phase Structure of Driven Quantum Systems,” Phys. Rev. Lett. 116
2016
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Dominic V. Else, Bela Bauer, and Chetan Nayak, “Floquet Time Crystals,” Phys. Rev. Lett. 117
2016
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C. W. von Keyserlingk, Vedika Khemani, and S. L. Sondhi, “Absolute stability and spatiotemporal long-range order in floquet systems,” Phys. Rev. B 94
2016
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2016
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John Z. Imbrie, “On many-body localization for quantum spin chains,” Journal of Statistical Physics 163
2016
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Takashi Mori, Tomotaka Kuwahara, and Keiji Saito, “Rigorous bound on energy absorption and generic relaxation in periodically driven quantum systems,” Phys. Rev. Lett. 116
2016
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2016
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2017
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Wen Wei Ho, Soonwon Choi, Mikhail D. Lukin, and Dmitry A. Abanin, “Critical time crystals in dipolar systems,” Phys. Rev. Lett. 119
2017
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David J. Luitz and Yevgeny Bar Lev, “The ergodic side of the many-body localization transition,” Ann. Phys. (Berlin) 529
2017
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David J. Luitz, Yevgeny Bar Lev, and Achilleas Lazarides, “Absence of dynamical localization in interacting driven systems,” SciPost Physics 3
2017
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Krzysztof Sacha and Jakub Zakrzewski, “Time crystals: a review,” Reports on Progress in Physics 81
2018
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Peter Reimann, “Dynamical typicality of isolated many-body quantum systems,” Phys. Rev. E 97
2018
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Asmi Haldar, Roderich Moessner, and Arnab Das, “Onset of floquet thermalization,” Phys. Rev. B 97
2018
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2019
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Joonhee Choi, Hengyun Zhou, Soonwon Choi, Renate Landig, Wen Wei Ho, Junichi Isoya, Fedor Jelezko, Shinobu Onoda, Hitoshi Sumiya, Dmitry A. Abanin, and Mikhail D. Lukin, “Probing quantum thermalization of a disordered dipolar spin ensemble with discrete time-crystalline order,” Phys. Rev. Lett. 122
2019
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