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Time Crystals in the Driven Transverse Field Ising Model under Quasiperiodic Modulation
New Journal of Physics ( IF 3.3 ) Pub Date : 2020-12-11 , DOI: 10.1088/1367-2630/abc9ec
Pengfei Liang 1, 2 , Rosario Fazio 1, 2, 3 , Stefano Chesi 1, 2, 4
Affiliation  

We investigate the transverse field Ising model subject to a two-step periodic driving protocol and quasiperiodic modulation of the Ising couplings. Analytical results on the phase boundaries associated with Majorana edge modes and numerical results on the localization of single-particle excitations are presented. The implication of a region with fully localized domain-wall-like excitations in the parameter space is eigenstate order and exact spectral pairing of Floquet eigenstates, based on which we conclude the existence of time crystals. We also examine various correlation functions of the time crystal phase numerically, in support of its existence.

中文翻译:

准周期调制下驱动横向场Ising模型中的时间晶体

我们研究了受两步周期驱动协议和 Ising 耦合准周期调制的横向场 Ising 模型。介绍了与 Majorana 边缘模式相关的相边界的分析结果和单粒子激发定位的数值结果。在参数空间中具有完全局部化的畴壁状激发的区域的含义是 Floquet 本征态的本征态顺序和精确的光谱配对,在此基础上我们得出时间晶体的存在的结论。我们还以数值方式检查了时间晶相的各种相关函数,以支持它的存在。
更新日期:2020-12-11
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