# Observation of discrete time-crystalline order in a disordered dipolar many-body system

@article{Choi2017ObservationOD, title={Observation of discrete time-crystalline order in a disordered dipolar many-body system}, author={Soonwon Choi and Joonhee Choi and Renate Landig and Georg Kucsko and Hengyun Zhou and Junichi Isoya and Fedor Jelezko and Shinobu Onoda and Hitoshi Sumiya and Vedika Khemani and C. W. von Keyserlingk and Norman Y. Yao and Eugene A. Demler and Mikhail D. Lukin}, journal={Nature}, year={2017}, volume={543}, pages={221-225} }

Understanding quantum dynamics away from equilibrium is an outstanding challenge in the modern physical sciences. Out-of-equilibrium systems can display a rich variety of phenomena, including self-organized synchronization and dynamical phase transitions. More recently, advances in the controlled manipulation of isolated many-body systems have enabled detailed studies of non-equilibrium phases in strongly interacting quantum matter; for example, the interplay between periodic driving, disorder…

## 578 Citations

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Using periodic driving of electronic spin impurities in diamond, this work realizes different types of interactions between spins and demonstrates experimentally that the interplay of disorder, driving, and interactions leads to several qualitatively distinct regimes of thermalization.

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It is pointed out that time crystals can generally exist in systems without disorder, and a series of clean quasi-one-dimensional models under Floquet driving are proposed to demonstrate this unexpected result in principle.

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We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin ﬂips. We show by a combination of exact diagonalization and tensor-network…

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We investigate the emergence of a time crystal in a driven-dissipative many-body spin array. In this system the interplay between incoherent spin pumping and collective emission stabilizes a…

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