论文标题
浮雕系统中多体定位过渡的无能为力
Thouless Energy Across Many-Body Localization Transition in Floquet Systems
论文作者
论文摘要
无能的概念在安德森本地化理论中起着核心作用。我们研究了浮雕模型中多体定位（MBL）跃迁的无效能量的缩放。我们结合了在过渡的厄贡侧（例如，光谱形式）和在MBL侧（例如，本地运算符的典型矩阵元素）上使用的方法的组合，以获得整个过渡过程中您无效的能量行为的完整图片。在偏僻的一侧，无用的能量趋于独立于系统大小的值，而在过渡时，它与水平间距相当。不同的探针在其重叠的适用性方面产生一致的估计，使过渡点的位置几乎没有有限尺寸的漂移。这项工作在多体设置中建立了无与伦比的能量的不同定义之间的联系，并产生了对浮标系统中MBL过渡的新见解。
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.
