A bound on chaos from stability

Abstract We explore the quantum chaos of the coadjoint orbit action of diffeomorphism group of S 1. We study quantum fluctuation around a saddle point to evaluate the soft mode contribution to the out-of-time-ordered correlator. We show that the stability condition of the semi-classical analysis of...

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Autor principal:	Junggi Yoon
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	2D Gravity AdS-CFT Correspondence Field Theories in Lower Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/a6a0f4fc31ad4e4e8125a8aee7ffd73d
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spelling	oai:doaj.org-article:a6a0f4fc31ad4e4e8125a8aee7ffd73d2021-11-14T12:40:21ZA bound on chaos from stability10.1007/JHEP11(2021)0971029-8479https://doaj.org/article/a6a0f4fc31ad4e4e8125a8aee7ffd73d2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)097https://doaj.org/toc/1029-8479Abstract We explore the quantum chaos of the coadjoint orbit action of diffeomorphism group of S 1. We study quantum fluctuation around a saddle point to evaluate the soft mode contribution to the out-of-time-ordered correlator. We show that the stability condition of the semi-classical analysis of the coadjoint orbit found in [1] leads to the upper bound on the Lyapunov exponent which is identical to the bound on chaos proven in [2]. The bound is saturated by the coadjoint orbit Diff(S 1)/SL(2) while the other stable orbit Diff(S 1)/U(1) where the SL(2, ℝ) is broken to U(1) has non-maximal Lyapunov exponent.Junggi YoonSpringerOpenarticle2D GravityAdS-CFT CorrespondenceField Theories in Lower DimensionsNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-14 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	2D Gravity AdS-CFT Correspondence Field Theories in Lower Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	2D Gravity AdS-CFT Correspondence Field Theories in Lower Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Junggi Yoon A bound on chaos from stability
description	Abstract We explore the quantum chaos of the coadjoint orbit action of diffeomorphism group of S 1. We study quantum fluctuation around a saddle point to evaluate the soft mode contribution to the out-of-time-ordered correlator. We show that the stability condition of the semi-classical analysis of the coadjoint orbit found in [1] leads to the upper bound on the Lyapunov exponent which is identical to the bound on chaos proven in [2]. The bound is saturated by the coadjoint orbit Diff(S 1)/SL(2) while the other stable orbit Diff(S 1)/U(1) where the SL(2, ℝ) is broken to U(1) has non-maximal Lyapunov exponent.
format	article
author	Junggi Yoon
author_facet	Junggi Yoon
author_sort	Junggi Yoon
title	A bound on chaos from stability
title_short	A bound on chaos from stability
title_full	A bound on chaos from stability
title_fullStr	A bound on chaos from stability
title_full_unstemmed	A bound on chaos from stability
title_sort	bound on chaos from stability
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/a6a0f4fc31ad4e4e8125a8aee7ffd73d
work_keys_str_mv	AT junggiyoon aboundonchaosfromstability AT junggiyoon boundonchaosfromstability
_version_	1718429123256254464

A bound on chaos from stability

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