Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models.,Physical Review Letters

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Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models.
Physical Review Letters ( IF 8.1 ) Pub Date : 2020-08-04 , DOI: 10.1103/physrevlett.125.060601
Koki Chinzei ₁ , Tatsuhiko N Ikeda ₁

Affiliation

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-Hubbard models under ac fields and their periodicity can be tuned only by adjusting the strength of the field. These time crystals arise only from the FDS and thus appear in both dissipative and isolated systems and in the presence of disorder as long as the FDS is respected. We discuss their experimental realizations in cold atom experiments and generalization to the

SU (N)

-symmetric Hubbard models.

中文翻译：

Hubbard模型中受浮球动力学对称性保护的时间晶体。

我们研究了时间周期驱动系统中的非常规对称性，即Floquet动态对称性（FDS）。与通常的对称性不同，FDS给出了在Floquet光谱中等距的对称扇区，并保护它们之间的量子相干性免于耗散和移相，从而导致两种时间晶体：离散时间晶体和离散时间准晶体，它们在时间上具有不同的周期性。。我们显示这些时间晶体出现在交流场下的Bose-和Fermi-Hubbard模型中，并且它们的周期性只能通过调整场的强度来调整。这些时间晶体仅来自FDS，因此只要遵守FDS，就会在耗散和隔离系统中以及出现无序情况时出现。

苏 （ ñ ）

对称的Hubbard模型。

更新日期：2020-08-04

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