Discrete Time Crystals: Rigidity, Criticality, and Realizations.

  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},
  volume={118 3},
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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    ( private communication ) . [ 34 ] D . S . Fisher

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    We note that TTSB can also emerge in the large-N limit of certain driven O(N ) models, but that finite N always leads to eventual thermalization

      In Fig. 1b, for Jz = 0, = 0, there are two peaks in the disorder averaged Fourier spectra. We compute the splitting, δ, between these peaks and plot ω/2 + δ/2 at + and ω/2 − δ/2 at −

        We work at maximal disorder W = 2π; unlike equilibrium systems, the periodicity of the Floquet unitary limits the strength of the disorder potential

          Nature (London) 501

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