如何利用OTOC区分混沌与可积性
How to distinguish chaos from integrability using OTOC
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中文总结 AI 辅助
本文通过解析研究算子纯度的晚期饱和值及其随系统大小的标度，利用Mazur界区分混沌与可积多体系统，并辅以一维自旋链数值模拟验证。
中文摘要 AI 辅助
无序时间关联函数（OTOC）衰减到较小的残余值标志着量子信息的扰乱。这种行为是普遍的：它既发生在混沌多体系统中，也发生在相互作用的可积多体系统中，因此本身无法区分这两类系统。本文解析研究了密切相关的可观测量——算子纯度——的晚期饱和值，并证明其随系统大小的标度行为能够稳健地区分混沌系统与可积系统。我们的方法基于Mazur界，该界提供了具体的标度估计，并明确解释了为何可积荷的局域性至关重要。我们通过一维自旋链的数值模拟支持了我们的发现。
英文摘要
The decay of out-of-time-ordered correlators (OTOCs) to a small residual value signals the scrambling of quantum information. This behavior is generic: it occurs in both chaotic and interacting integrable many-body systems, and therefore cannot by itself distinguish between them. In this paper we analytically study the late-time saturation value of a closely related observable, operator purity, and show that its scaling with system size robustly distinguishes chaotic from integrable systems. Our approach is based on the Mazur bound, which provides concrete scaling estimates and makes explicit why the locality of integrable charges matters. We support our findings with numerical simulations of one-dimensional spin chains.
发表机构
- Institute for Quantum Information and Matter, California Institute of Technology（加州理工学院量子信息物质研究所）
- Department of Physics and Astronomy, University of Kentucky（肯塔基大学物理与天文学系）
- Department of Theoretical Physics, CERN（欧洲核子研究中心理论物理部）
- Laboratory for Theoretical Fundamental Physics, EPFL（洛桑联邦理工学院基础物理理论实验室）
机构由 AI 辅助整理，请以论文原文为准。
