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Floquet (periodically driven) systems can give rise to unique non-equilibrium phases of matter without equilibrium analogs.
Principles of condensed matter physics , vol. 10 (Cambridge university press Cambridge, 1995)
Chaikin, P. M., Lubensky, T. C. & Witten, T. A · 1995
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Quantum phase transitions
Sachdev, S · 1999
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Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states
Basko, D. M., Aleiner, I. L. & Altshuler, B. L · 2006
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Dynamic polarization of single nuclear spins by optical pumping of nitrogen-vacancy color centers in diamond at room temperature
Jacques, V. et al · 2009
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Quantum time crystals
Wilczek, F · 2012
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Comment on “quantum time crystals”: a new paradigm or just another proposal of perpetuum mobile?
Bruno, P · 2012
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Superfluidity and space-time translation symmetry breaking
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Impossibility of spontaneously rotating time crystals: a no-go theorem
Bruno, P · 2013
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Optical polarization of nuclear ensembles in diamond
Fischer, R., Jarmola, A., Kehayias, P. & Budker, D · 2013
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Experimental realization of universal geometric quantum gates with solid-state spins
Zu, C. et al · 2014
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Absence of quantum time crystals
Watanabe, H. & Oshikawa, M · 2015
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Modeling spontaneous breaking of time-translation symmetry
Sacha, K · 2015
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Many-body localization and thermalization in quantum statistical mechanics
Nandkishore, R. & Huse, D. A · 2015
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Exponentially slow heating in periodically driven many-body systems
Abanin, D. A., De Roeck, W. & Huveneers, F · 2015
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Observation of many-body localization of interacting fermions in a quasirandom optical lattice
Schreiber, M. et al · 2015
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Phase structure of driven quantum systems
Khemani, V., Lazarides, A., Moessner, R. & Sondhi, S. L · 2016
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Phase structure of one-dimensional interacting floquet systems. ii. symmetry-broken phases
von Keyserlingk, C. W. & Sondhi, S. L · 2016
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Floquet time crystals
Else, D. V., Bauer, B. & Nayak, C · 2016
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Many-body localization in a quantum simulator with programmable random disorder
Smith, J. et al · 2016
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Prethermal phases of matter protected by time-translation symmetry
Else, D. V., Bauer, B. & Nayak, C · 2017
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Critical time crystals in dipolar systems
Ho, W. W., Choi, S., Lukin, M. D. & Abanin, D. A · 2017
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Equilibration and order in quantum floquet matter
Moessner, R. & Sondhi, S. L · 2017
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Discrete time crystals: Rigidity, criticality, and realizations
Yao, N. Y., Potter, A. C., Potirniche, I.-D. & Vishwanath, A · 2017
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Fate of a discrete time crystal in an open system
Lazarides, A. & Moessner, R · 2017
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Observation of discrete time-crystalline order in a disordered dipolar many-body system
Choi, S. et al · 2017
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Observation of a discrete time crystal
Zhang, J. et al · 2017
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Observation of discrete-time-crystal signatures in an ordered dipolar many-body system
Rovny, J., Blum, R. L. & Barrett, S. E · 2018
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Floquet phases of matter via classical prethermalization
Ye, B., Machado, F. & Yao, N. Y · 2021
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Observation of a dissipative time crystal
Keßler, H. et al · 2021
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Many-body–localized discrete time crystal with a programmable spin-based quantum simulator
Randall, J. et al · 2021
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Floquet prethermalization in dipolar spin chains
Peng, P., Yin, C., Huang, X., Ramanathan, C. & Cappellaro, P · 2021
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Observation of a prethermal discrete time crystal
Kyprianidis, A. et al · 2021
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Time-crystalline eigenstate order on a quantum processor
Mi, X. et al · 2022
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Observation of a time quasicrystal and its transition to a superfluid time crystal
Autti, S., Eltsov, V. & Volovik, G · 2018
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Clean floquet time crystals: models and realizations in cold atoms
Huang, B., Wu, Y.-H. & Liu, W. V · 2018
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Critical thermalization of a disordered dipolar spin system in diamond
Kucsko, G. et al · 2018
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Discrete time crystal in globally driven interacting quantum systems without disorder
Yu, W. C., Tangpanitanon, J., Glaetzle, A. W., Jaksch, D. & Angelakis, D. G · 2019
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Classical stochastic discrete time crystals
Gambetta, F., Carollo, F., Lazarides, A., Lesanovsky, I. & Garrahan, J · 2019
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Discrete time crystals in the absence of manifest symmetries or disorder in open quantum systems
Gambetta, F., Carollo, F., Marcuzzi, M., Garrahan, J. & Lesanovsky, I · 2019
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Realization of a discrete time crystal on 57 qubits of a quantum computer
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All-optical dissipative discrete time crystals
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Observation of a continuous time crystal
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Discrete time crystal enabled by stark many-body localization
Liu, S., Zhang, S.-X., Hsieh, C.-Y., Zhang, S. & Yao, H · 2023
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Critical prethermal discrete time crystal created by two-frequency driving
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Colloquium: Quantum and classical discrete time crystals
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Quasi-floquet prethermalization in a disordered dipolar spin ensemble in diamond
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Probing many-body dynamics in a two-dimensional dipolar spin ensemble
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Observation of a prethermal u ( 1 ) u(1) discrete time crystal
Stasiuk, A. & Cappellaro, P · 2023
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Coherent dynamics of strongly interacting electronic spin defects in hexagonal boron nitride
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Dissipative prethermal discrete time crystal
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dynamite v0.3.1 (2023)
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Long-lived topological time-crystalline order on a quantum processor
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