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
收藏
页数：19
相关论文
共 50 条
  • [41] Physical generalizations of the Renyi entropy
    Johnson, Clifford V.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2019, 28 (07):
  • [42] The gravity dual of Renyi entropy
    Dong, Xi
    NATURE COMMUNICATIONS, 2016, 7
  • [43] Encoding Tasks and Renyi Entropy
    Bunte, Christoph
    Lapidoth, Amos
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2014, 60 (09) : 5065 - 5076
  • [44] Renyi extrapolation of Shannon entropy
    Zyczkowski, K
    OPEN SYSTEMS & INFORMATION DYNAMICS, 2003, 10 (03): : 297 - 310
  • [45] Renyi entropy and conformal defect
    Bianchi, Lorenzo
    Meineri, Marco
    Myers, Robert C.
    Smolkin, Michael
    JOURNAL OF HIGH ENERGY PHYSICS, 2016, (07):
  • [46] Entrance time and Renyi entropy
    Gupta, Chinmaya
    Haydn, Nicolai
    Ko, Milton
    Rada-Mora, Erika A.
    STOCHASTICS AND DYNAMICS, 2015, 15 (04)
  • [47] The Concavity of Renyi Entropy Power
    Savare, Giuseppe
    Toscani, Giuseppe
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2014, 60 (05) : 2687 - 2693
  • [48] Renyi Entropy in Statistical Mechanics
    Fuentes, Jesus
    Goncalves, Jorge
    ENTROPY, 2022, 24 (08)
  • [49] On Renyi Entropy Power Inequalities
    Ram, Eshed
    Sason, Igal
    2016 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, 2016, : 2289 - 2293
  • [50] Maximizing Renyi Entropy Rate
    Bunte, Christoph
    Lapidoth, Amos
    2014 IEEE 28TH CONVENTION OF ELECTRICAL & ELECTRONICS ENGINEERS IN ISRAEL (IEEEI), 2014,
12345