量子多体系统中信息的传播

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2025-06-11 DOI:10.1016/j.aop.2025.170103

Israel Michael Sigal , Jingxuan Zhang

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引用次数: 0

摘要

我们证明了一般晶格量子多体系统的量子信息传递、相关的传播/创建和状态控制的最小时间界限。这些证明是基于最大速度界的，这表明多体演化保持在初始条件支持的光锥内，直到小的泄漏概率尾巴。这个估计被用来证明动力学的光锥近似和lieb - robinson型界，从而得到上述结果。我们的条件涵盖了远距离的相互作用。本文的主要结果以及证明的一些关键步骤首先在Lemm et al.（2023）中提出。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On propagation of information in quantum many-body systems

We prove bounds on the minimal time for quantum messaging, propagation/creation of correlations, and control of states for general lattice quantum many-body systems. The proofs are based on a maximal velocity bound, which states that the many-body evolution stays, up to small leaking probability tails, within a light cone of the support of the initial conditions. This estimate is used to prove the light-cone approximation of dynamics and Lieb–Robinson-type bound, which in turn yield the results above. Our conditions cover long-range interactions. The main results of this paper as well as some key steps of the proofs were first presented in Lemm et al. (2023).

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来源期刊

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.