Dynamical Scaling of Surface Roughness and Entanglement Entropy in Disordered Fermion Models
Dynamical Scaling of Surface Roughness and Entanglement Entropy in Disordered Fermion Models
复制标题
无序费米子模型中表面粗糙度和纠缠熵的动态缩放
DOI：
10.1103/physrevlett.127.090601
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发表时间：
2021
影响因子：
8.6
通讯作者：
Kawaguchi Yuki
中科院分区：
文献类型：
--
作者：
Fujimoto Kazuya;Hamazaki Ryusuke;Kawaguchi Yuki
局域化是由随机性引起的最基本的干涉现象之一，它的普遍性已经从单参数标度（主要是静态性质）的角度得到了广泛的探讨。我们数值研究了费米子在无序一维势上的动力学，表现出局域化和finddynamicalone参数标度的表面粗糙度，这代表了在给定的长度尺度上的粒子数波动，以及当系统处于离域相时的纠缠熵。这种动力学标度对应于最初在经典表面生长中开发的Family-Vicsek标度，并且相关的标度指数取决于无序的类型。值得注意的是，我们发现，部分本地化状态的随机二聚体模型的离域相位导致异常标度，量子系统特有的破坏性干涉导致经典系统和清洁系统的未知指数。
Localization is one of the most fundamental interference phenomena caused by randomness, and its universal aspects have been extensively explored from the perspective of one-parameter scaling mainly forstaticproperties. We numerically study dynamics of fermions on disordered one-dimensional potentials exhibiting localization and finddynamicalone-parameter scaling for surface roughness, which represents particle-number fluctuations at a given length scale, and for entanglement entropy when the system is in delocalized phases. This dynamical scaling corresponds to the Family-Vicsek scaling originally developed in classical surface growth, and the associated scaling exponents depend on the type of disorder. Notably, we find that partially localized states in the delocalized phase of the random-dimer model lead to anomalous scaling, where destructive interference unique to quantum systems leads to exponents unknown for classical systems and clean systems.