Condensed matter physics in time crystals

@article{Guo2020CondensedMP,
  title={Condensed matter physics in time crystals},
  author={Lingzhen Guo and Pengfei Liang},
  journal={arXiv: Quantum Gases},
  year={2020}
}
Time crystals are physical systems whose time translation symmetry is spontaneously broken. Although the spontaneous breaking of continuous time-translation symmetry in static systems is proved impossible for the equilibrium state, the discrete time-translation symmetry in periodically driven (Floquet) systems is allowed to be spontaneously broken, resulting in the so-called Floquet or discrete time crystals. While most works so far searching for time crystals focus on the symmetry breaking… 
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