Discrete Time Crystals: Rigidity, Criticality, and Realizations.

@article{Yao2016DiscreteTC,
  title={Discrete Time Crystals: Rigidity, Criticality, and Realizations.},
  author={Norman Y. Yao and Andrew C. Potter and Ionut-Dragos Potirniche and Ashvin Vishwanath},
  journal={Physical review letters},
  year={2016},
  volume={118 3},
  pages={
          030401
        }
}
Despite being forbidden in equilibrium, spontaneous breaking of time translation symmetry can occur in periodically driven, Floquet systems with discrete time-translation symmetry. The period of the resulting discrete time crystal is quantized to an integer multiple of the drive period, arising from a combination of collective synchronization and many body localization. Here, we consider a simple model for a one-dimensional discrete time crystal which explicitly reveals the rigidity of the… 

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