Floquet系统多体局部化转换中的无能量。

M. Sonner, Maksym Serbyn, Z. Papi'c, D. Abanin
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引用次数: 8

摘要

索利斯能量的概念在安德森局域化理论中起着核心作用。研究了Floquet模型中多体局部化(MBL)跃迁过程中Thouless能量的标度。我们结合了在跃迁的遍历侧可靠的方法(例如,频谱形式因子)和在MBL侧工作的方法(例如,局部算子的典型矩阵元素)来获得整个跃迁的Thouless能量行为的完整图像。在遍历侧,索利斯能量趋向于一个与系统大小无关的值,而在过渡时,它变得与能级间距相当。不同的探针在其重叠的适用范围内产生一致的索利斯能量估计,使过渡点的位置几乎不受有限大小漂移的影响。这项工作建立了多体环境中索利斯能量的不同定义之间的联系,并对Floquet系统中的MBL跃迁产生了新的见解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Thouless Energy Across Many-Body Localization Transition in Floquet Systems.
The notion of Thouless energy plays a central role in the theory of Anderson localization. We investigate the scaling of Thouless energy across the many-body localization (MBL) transition in a Floquet model. We use a combination of methods that are reliable on the ergodic side of the transition (e.g., spectral form factor) and methods that work on the MBL side (e.g. typical matrix elements of local operators) to obtain a complete picture of the Thouless energy behavior across the transition. On the ergodic side, the Thouless energy tends to a value independent of system size, while at the transition it becomes comparable to the level spacing. Different probes yield consistent estimates of the Thouless energy in their overlapping regime of applicability, giving the location of the transition point nearly free of finite-size drift. This work establishes a connection between different definitions of Thouless energy in a many-body setting, and yields new insights into the MBL transition in Floquet systems.
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