Logarithmic singularities of Renyi entropy as a sign of chaos?

被引：0

作者：

Iizuka, Norihiro ^{[1
,2
,3
]}

Nishida, Mitsuhiro ^{[4
]}

机构：

[1] Osaka Univ, Dept Phys, Toyonaka, Osaka 5600043, Japan

[2] Natl Tsing Hua Univ, Dept Phys, Hsinchu 30013, Taiwan

[3] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan

[4] Pohang Univ Sci & Technol, Dept Phys, Pohang 37673, South Korea

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2024年 / 10期

基金：

新加坡国家研究基金会;

关键词：

AdS-CFT Correspondence; Gauge-Gravity Correspondence; Scale and Conformal Symmetries;

D O I：

10.1007/JHEP10(2024)043

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We propose that the logarithmic singularities of the Renyi entropy of local-operator-excited states for replica index n can be a sign of quantum chaos. As concrete examples, we analyze the logarithmic singularities of the Renyi entropy in various two-dimensional conformal field theories. We show that there are always logarithmic singularities of the Renyi entropy in holographic CFTs, but no such singularities in free and rational CFTs. These singularities of the Renyi entropy are also related to the logarithmic time growth of the Renyi entropy at late times.

引用

页数：19

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