Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems

Autores
Jalabert, Rodolfo; Garcia-Mata, Ignacio; Wisniacki, Diego Ariel
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The out-of-time-order correlator (OTOC), recently analyzed in several physical contexts, is studied for low-dimensional chaotic systems through semiclassical expansions and numerical simulations. The semiclassical expansion for the OTOC yields a leading-order contribution in 2 that is exponentially increasing with time within an intermediate, temperature-dependent, time window. The growth-rate in such a regime is governed by the Lyapunov exponent of the underlying classical system and scales with the square-root of the temperature.
Fil: Jalabert, Rodolfo. Université de Strasbourg; Francia
Fil: Garcia-Mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Marinas y Costeras. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Marinas y Costeras; Argentina
Fil: Wisniacki, Diego Ariel. Universidad de Buenos Aires; Argentina
Materia
QUANTUM
CHAOS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/88890
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systemsJalabert, RodolfoGarcia-Mata, IgnacioWisniacki, Diego ArielQUANTUMCHAOShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The out-of-time-order correlator (OTOC), recently analyzed in several physical contexts, is studied for low-dimensional chaotic systems through semiclassical expansions and numerical simulations. The semiclassical expansion for the OTOC yields a leading-order contribution in 2 that is exponentially increasing with time within an intermediate, temperature-dependent, time window. The growth-rate in such a regime is governed by the Lyapunov exponent of the underlying classical system and scales with the square-root of the temperature.Fil: Jalabert, Rodolfo. Université de Strasbourg; FranciaFil: Garcia-Mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Marinas y Costeras. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Marinas y Costeras; ArgentinaFil: Wisniacki, Diego Ariel. Universidad de Buenos Aires; ArgentinaAmerican Physical Society2018-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/88890Jalabert, Rodolfo; Garcia-Mata, Ignacio; Wisniacki, Diego Ariel; Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems; American Physical Society; Physical Review E; 98; 6; 12-20182470-0045CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.98.062218info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.062218info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:26:49Zoai:ri.conicet.gov.ar:11336/88890instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:26:49.443CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
title Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
spellingShingle Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
Jalabert, Rodolfo
QUANTUM
CHAOS
title_short Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
title_full Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
title_fullStr Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
title_full_unstemmed Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
title_sort Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
dc.creator.none.fl_str_mv Jalabert, Rodolfo
Garcia-Mata, Ignacio
Wisniacki, Diego Ariel
author Jalabert, Rodolfo
author_facet Jalabert, Rodolfo
Garcia-Mata, Ignacio
Wisniacki, Diego Ariel
author_role author
author2 Garcia-Mata, Ignacio
Wisniacki, Diego Ariel
author2_role author
author
dc.subject.none.fl_str_mv QUANTUM
CHAOS
topic QUANTUM
CHAOS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The out-of-time-order correlator (OTOC), recently analyzed in several physical contexts, is studied for low-dimensional chaotic systems through semiclassical expansions and numerical simulations. The semiclassical expansion for the OTOC yields a leading-order contribution in 2 that is exponentially increasing with time within an intermediate, temperature-dependent, time window. The growth-rate in such a regime is governed by the Lyapunov exponent of the underlying classical system and scales with the square-root of the temperature.
Fil: Jalabert, Rodolfo. Université de Strasbourg; Francia
Fil: Garcia-Mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Marinas y Costeras. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Marinas y Costeras; Argentina
Fil: Wisniacki, Diego Ariel. Universidad de Buenos Aires; Argentina
description The out-of-time-order correlator (OTOC), recently analyzed in several physical contexts, is studied for low-dimensional chaotic systems through semiclassical expansions and numerical simulations. The semiclassical expansion for the OTOC yields a leading-order contribution in 2 that is exponentially increasing with time within an intermediate, temperature-dependent, time window. The growth-rate in such a regime is governed by the Lyapunov exponent of the underlying classical system and scales with the square-root of the temperature.
publishDate 2018
dc.date.none.fl_str_mv 2018-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/88890
Jalabert, Rodolfo; Garcia-Mata, Ignacio; Wisniacki, Diego Ariel; Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems; American Physical Society; Physical Review E; 98; 6; 12-2018
2470-0045
CONICET Digital
CONICET
url http://hdl.handle.net/11336/88890
identifier_str_mv Jalabert, Rodolfo; Garcia-Mata, Ignacio; Wisniacki, Diego Ariel; Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems; American Physical Society; Physical Review E; 98; 6; 12-2018
2470-0045
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.98.062218
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.062218
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1846781830353649664
score 12.982451

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