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Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models

Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models

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 …