作为混沌探针的重正则化算子的增长

IF 1.5 4区物理与天体物理 Q3 PHYSICS, PARTICLES & FIELDS Advances in High Energy Physics Pub Date : 2021-10-28 DOI:10.1155/2022/9216427

Xing Huang, Binchao Zhang

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引用次数: 1

摘要

我们提出在全息重整化群流下演化的算子的大小应随尺度线性增长，并将这种行为解释为混沌界饱和的表现。为了验证这一猜想，我们研究了两个不同玩具模型中的算子增长。第一个是由随机酉电路构建的类mera张量网络，其算子大小使用集成的非时序相关器(OTOC)定义。第二个模型是完全张量的纠错码，利用实现逻辑算子的单点物理算子的个数计算算子的大小。在这两种情况下，我们都观察到线性增长。

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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Growth of a Renormalized Operator as a Probe of Chaos

We propose that the size of an operator evolved under holographic renormalization group flow shall grow linearly with the scale and interpret this behavior as a manifestation of the saturation of the chaos bound. To test this conjecture, we study the operator growth in two different toy models. The first one is a MERA-like tensor network built from a random unitary circuit with the operator size defined using the integrated out-of-time-ordered correlator (OTOC). The second model is an error-correcting code of perfect tensors, and the operator size is computed using the number of single-site physical operators that realize the logical operator. In both cases, we observe linear growth.

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来源期刊

Advances in High Energy Physics PHYSICS, PARTICLES & FIELDS-

CiteScore

3.40

自引率

5.90%

发文量

审稿时长

6-12 weeks

期刊介绍： Advances in High Energy Physics publishes the results of theoretical and experimental research on the nature of, and interaction between, energy and matter. Considering both original research and focussed review articles, the journal welcomes submissions from small research groups and large consortia alike.