Pre-thermal Time Crystals and Floquet topological phases without disorder

  title={Pre-thermal Time Crystals and Floquet topological phases without disorder},
  author={Dominic V. Else and Bela Bauer and C. Nayak},
  journal={arXiv: Statistical Mechanics},
We show that both discrete and continuous time-translation symmetry can be broken in the pre-thermal regime of quantum systems that eventually thermalize. We prove a theorem that states that such "time crystals" persist until times that are nearly exponentially-long in the couplings and, in driven systems, the drive frequency. After this thermalization time, the time-translational symmetry breaking oscillations fade away. However, during the time interval prior to that, a time crystal can exist… 

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