Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models.

  title={Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models.},
  author={Koki Chinzei and Tatsuhiko N. Ikeda},
  journal={Physical review letters},
  volume={125 6},
We investigate an unconventional symmetry in time-periodically driven systems, the Floquet dynamical symmetry (FDS). Unlike the usual symmetries, the FDS gives symmetry sectors that are equidistant in the Floquet spectrum and protects quantum coherence between them from dissipation and dephasing, leading to two kinds of time crystals: the discrete time crystal and discrete time quasicrystal that have different periodicity in time. We show that these time crystals appear in the Bose- and Fermi… 

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