论文标题
来自动力学轨道领域的多体定位
Many-Body Localization from Dynamical Gauge Fields
论文作者
论文摘要
最近的实验[Nature Physics 10，1（2019）]已经意识到了一个具有$ \ mathbb {z} _2 $量规对称性的动力学量规系统，具有双孔电势。在这项工作中，我们提出了一种从单个双井到一维链的概括该模型的方法。我们表明，尽管原始模型中没有无序的潜力，但可能会发生多体定位的现象。关键成分是，具有不同局部量规电荷的不同对称扇区起着不同疾病构型的作用，在将我们的模型恰好映射到随机纵向场中的横向ISING模型后，它们变得很清楚。我们表明，在该模型中，来自四个不同的指标都存在千古制度和多体局部制度，其中包括级别的统计数据，体积定律与特征属性的纠缠熵，纠缠熵的动态和物理可观察物的动态。
A recent experiment [Nature Physics 10, 1 (2019)] has realized a dynamical gauge system with $\mathbb{Z}_2$ gauge symmetry in a double-well potential. In this work we propose a method to generalize this model from a single double well to a one-dimensional chain. We show that although there is no disordered potential in the original model, the phenomenon of many-body localization can occur. The key ingredient is that different symmetry sectors with different local gauge charges play the role of different disorder configurations, which becomes clear after exactly mapping our model to a transverse Ising model in a random longitudinal field. We show that both the ergodic regime and the many-body localized regime exist in this model from four different metrics, which include level statistics, volume law versus area law of entanglement entropy of eigenstates, quench dynamics of entanglement entropy and physical observables.
