论文标题
多体定位过渡中的信息理论记忆缩放
Information-Theoretic Memory Scaling in the Many-Body Localization Transition
论文作者
论文摘要
多体局部阶段的一个关键特征是厄尔贡的破坏，因此是局部记忆的出现。随着时间的推移，被揭示为信息的当地保存。由于记忆必然是一个依赖时间的概念，因此它已被一些现存的动态量研究部分捕获。但是，这些数量既不是最佳的，也不是民主的。因此，在多体定位的背景下，对本地记忆的基本和完整的信息理论理解仍然难以捉摸。我们将动态孔的数量作为局部记忆的真实量化符引入，概述了其优于其他数量（例如不平衡或纠缠熵）的优势。我们在多体定位过渡中发现了其稳态中的明确缩放行为，并确定了捕获这种行为的两参数缩放率的家族。我们对此动态量提取过渡点和缩放指数进行全面的有限尺寸缩放分析。
A key feature of the many-body localized phase is the breaking of ergodicity and consequently the emergence of local memory; revealed as the local preservation of information over time. As memory is necessarily a time dependent concept, it has been partially captured by a few extant studies of dynamical quantities. However, these quantities are neither optimal, nor democratic with respect to input state; and as such a fundamental and complete information theoretic understanding of local memory in the context of many-body localization remains elusive. We introduce the dynamical Holevo quantity as the true quantifier of local memory, outlining its advantages over other quantities such as the imbalance or entanglement entropy. We find clear scaling behavior in its steady-state across the many-body localization transition, and determine a family of two-parameter scaling ansätze which captures this behavior. We perform a comprehensive finite size scaling analysis of this dynamical quantity extracting the transition point and scaling exponents.
