AdS黑洞中量子复杂度的晚期增长率与自由能关系

孙威, 葛先辉

doi:10.12066/j.issn.1007-2861.2314

上海大学学报(自然科学版) >

2022 , Vol. 28 >Issue 6: 1069 - 1083

DOI: https://doi.org/10.12066/j.issn.1007-2861.2314

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AdS黑洞中量子复杂度的晚期增长率与自由能关系

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上海大学理学院, 上海 200444

葛先辉(1981-), 男, 教授, 博士生导师, 博士, 主要研究方向为规范场/引力对应的相关研究. E-mail: ge_xh@hotmail.com

收稿日期: 2021-04-08

网络出版日期: 2021-06-11

基金资助

国家自然科学基金资助项目(11875184)

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Relationship between late-time quantum complexity growth rate and free energy in AdS black holes

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College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2021-04-08

Online published: 2021-06-11

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摘要

量子复杂度与自由能的关系研究为复杂度-作用量猜想和复杂度-体积猜想之间搭起了一座桥梁. 首先, 通过无奇点的Bardeen-AdS黑洞、 $f(R)$引力下的带电黑洞和Born-Infeld AdS黑洞检验量子复杂度晚期增长率与自由能关系的普适性; 然后, 讨论了将量子复杂度晚期增长率作为探针研究相变的可能性; 最后, 研究了量子复杂度晚期增长率是否违反Lloyd上限的问题.

关键词： 量子复杂度; 黑洞热力学; AdS黑洞

本文引用格式

孙威, 葛先辉 . AdS黑洞中量子复杂度的晚期增长率与自由能关系[J]. 上海大学学报(自然科学版), 2022 , 28(6) : 1069 -1083 . DOI: 10.12066/j.issn.1007-2861.2314

Abstract

The relationship between quantum complexity and free energy relation builds a bridge between the complexity action duality and complexity volume duality. The main purpose of this study is to investigate the universality of the quantum complexity and free energy relation by verifying in Bardeen-AdS black holes without singularities, charged black holes in $f(R)$ modified gravity, and Born-Infeld AdS black holes. The possibility of using quantum complexity as a probe in analysing phase transitions is evaluated. Finally, whether the late-time quantum complexity rates violated the Lloyd bound is verified.

Key words： quantum complexity; black hole thermodynamics; AdS black holes

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