论文标题
自由屈服页面曲线：典型的典型性和动态出现
Free-fermion Page Curve: Canonical Typicality and Dynamical Emergence
论文作者
论文摘要
我们为新建立的非相互作用（自由屈光度）页面曲线提供了进一步的分析见解，重点是运动和动态方面。首先，我们揭示了随机自由雕像状态的基本规范典型性和非典型性。前者出现在一个小子系统中，并且比相互作用的情况下的众所周知的结果呈指数弱。后者解释了为什么自由屈服页面曲线与子系统在宏观上大大（即与整个系统相当）时的相互作用曲线明显不同。其次，我们发现自由屈服页面曲线在长期淬火动力学中的一些简单紧密绑定模型中出现了高度的高精度。这对宏观量表上的量子热化产生了罕见的分析结果，其中不适用于常规范式，例如广义吉布斯集合和准粒子图片。
We provide further analytical insights into the newly established noninteracting (free-fermion) Page curve, focusing on both the kinematic and dynamical aspects. First, we unveil the underlying canonical typicality and atypicality for random free-fermion states. The former appears for a small subsystem and is exponentially weaker than the well-known result in the interacting case. The latter explains why the free-fermion Page curve differs remarkably from the interacting one when the subsystem is macroscopically large, i.e., comparable with the entire system. Second, we find that the free-fermion Page curve emerges with unexpectedly high accuracy in some simple tight binding models in long-time quench dynamics. This contributes a rare analytical result concerning quantum thermalization on a macroscopic scale, where conventional paradigms such as the generalized Gibbs ensemble and quasi-particle picture are not applicable.
