从本征态热化假设看混沌的边界。

Bounds on Chaos from the Eigenstate Thermalization Hypothesis.

机构信息

Department of Physics, University of California, Santa Barbara, California 93106, USA.

出版信息

Phys Rev Lett. 2019 Dec 6;123(23):230606. doi: 10.1103/PhysRevLett.123.230606.

DOI:10.1103/PhysRevLett.123.230606

Abstract

We show that the known bound on the growth rate of the out-of-time-order four-point correlator in chaotic many-body quantum systems follows directly from the general structure of operator matrix elements in systems that obey the eigenstate thermalization hypothesis. This ties together two key paradigms of thermal behavior in isolated many-body quantum systems.

摘要

我们证明，在混沌多体量子系统中，已知的为时序四量子关联函数增长率的上界直接来自于满足本征态热化假设的系统中算子矩阵元的一般结构。这将两个孤立多体量子系统热行为的关键范例联系起来。