论文标题
在准碘调制下,驱动横向场ISING模型中的时间晶体
Time Crystals in the Driven Transverse Field Ising Model under Quasiperiodic Modulation
论文作者
论文摘要
我们研究了横向场模型,以两步定期驾驶方案和iciperiodic的调制为止。给出了与Majorana边缘模式相关的相边界的分析结果,并提出了有关单粒子激发的定位的数值结果。在参数空间中具有完全局部域壁样激励区域的区域的含义是特征态和浮雕本征的精确频谱配对,基于我们结论时间晶体的存在。我们还在数值上检查了时间晶相的各种相关函数,以支持其存在。
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.