Chaos signatures in the short and long time behavior of the Out-of-Time ordered correlator

Autores
Garcia-Mata, Ignacio; Saraceno, Marcos; Jalabert, Rodolfo; Roncaglia, Augusto Jose; Wisniacki, Diego Ariel
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Two properties are needed for a classical system to be chaotic: exponential stretching and mixing. Recently, out-of-time order correlators were proposed as a measure of chaos in a wide range of physical systems. While most of the attention has previously been devoted to the short time stretching aspect of chaos, characterized by the Lyapunov exponent, we show for quantum maps that the out-of-time correlator approaches its stationary value exponentially with a rate determined by the Ruelle-Pollicot resonances. This property constitutes clear evidence of the dual role of the underlying classical chaos dictating the behavior of the correlator at different timescales.
Fil: Garcia-Mata, Ignacio. Universidad Nacional de Mar del Plata; Argentina. 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: Saraceno, Marcos. Comisión Nacional de Energía Atómica; Argentina. Universidad Nacional de San Martín; Argentina
Fil: Jalabert, Rodolfo. Université de Strasbourg; Francia
Fil: Roncaglia, Augusto Jose. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Marinas y Costeras. Subsede Instituto Nacional de Investigación y Desarrollo Pesquero; Argentina
Fil: Wisniacki, Diego Ariel. Universidad de Buenos Aires; Argentina
Materia
Out of time order operators
quantum maps
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:11336/88886
Acceder
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spelling Chaos signatures in the short and long time behavior of the Out-of-Time ordered correlatorGarcia-Mata, IgnacioSaraceno, MarcosJalabert, RodolfoRoncaglia, Augusto JoseWisniacki, Diego ArielOut of time order operatorsquantum mapsquantum chaoshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Two properties are needed for a classical system to be chaotic: exponential stretching and mixing. Recently, out-of-time order correlators were proposed as a measure of chaos in a wide range of physical systems. While most of the attention has previously been devoted to the short time stretching aspect of chaos, characterized by the Lyapunov exponent, we show for quantum maps that the out-of-time correlator approaches its stationary value exponentially with a rate determined by the Ruelle-Pollicot resonances. This property constitutes clear evidence of the dual role of the underlying classical chaos dictating the behavior of the correlator at different timescales.Fil: Garcia-Mata, Ignacio. Universidad Nacional de Mar del Plata; Argentina. 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: Saraceno, Marcos. Comisión Nacional de Energía Atómica; Argentina. Universidad Nacional de San Martín; ArgentinaFil: Jalabert, Rodolfo. Université de Strasbourg; FranciaFil: Roncaglia, Augusto Jose. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Marinas y Costeras. Subsede Instituto Nacional de Investigación y Desarrollo Pesquero; ArgentinaFil: Wisniacki, Diego Ariel. Universidad de Buenos Aires; ArgentinaAmerican Physical Society2018-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/88886Garcia-Mata, Ignacio; Saraceno, Marcos; Jalabert, Rodolfo; Roncaglia, Augusto Jose; Wisniacki, Diego Ariel; Chaos signatures in the short and long time behavior of the Out-of-Time ordered correlator; American Physical Society; Physical Review Letters; 121; 21; 11-2018; 210601-2106050031-9007CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.210601info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.121.210601info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:08:13Zoai:ri.conicet.gov.ar:11336/88886instacron: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:34982025-09-29 10:08:13.769CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Chaos signatures in the short and long time behavior of the Out-of-Time ordered correlator
title Chaos signatures in the short and long time behavior of the Out-of-Time ordered correlator
spellingShingle Chaos signatures in the short and long time behavior of the Out-of-Time ordered correlator
Garcia-Mata, Ignacio
Out of time order operators
quantum maps
quantum chaos
title_short Chaos signatures in the short and long time behavior of the Out-of-Time ordered correlator
title_full Chaos signatures in the short and long time behavior of the Out-of-Time ordered correlator
title_fullStr Chaos signatures in the short and long time behavior of the Out-of-Time ordered correlator
title_full_unstemmed Chaos signatures in the short and long time behavior of the Out-of-Time ordered correlator
title_sort Chaos signatures in the short and long time behavior of the Out-of-Time ordered correlator
dc.creator.none.fl_str_mv Garcia-Mata, Ignacio
Saraceno, Marcos
Jalabert, Rodolfo
Roncaglia, Augusto Jose
Wisniacki, Diego Ariel
author Garcia-Mata, Ignacio
author_facet Garcia-Mata, Ignacio
Saraceno, Marcos
Jalabert, Rodolfo
Roncaglia, Augusto Jose
Wisniacki, Diego Ariel
author_role author
author2 Saraceno, Marcos
Jalabert, Rodolfo
Roncaglia, Augusto Jose
Wisniacki, Diego Ariel
author2_role author
author
author
author
dc.subject.none.fl_str_mv Out of time order operators
quantum maps
quantum chaos
topic Out of time order operators
quantum maps
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 Two properties are needed for a classical system to be chaotic: exponential stretching and mixing. Recently, out-of-time order correlators were proposed as a measure of chaos in a wide range of physical systems. While most of the attention has previously been devoted to the short time stretching aspect of chaos, characterized by the Lyapunov exponent, we show for quantum maps that the out-of-time correlator approaches its stationary value exponentially with a rate determined by the Ruelle-Pollicot resonances. This property constitutes clear evidence of the dual role of the underlying classical chaos dictating the behavior of the correlator at different timescales.
Fil: Garcia-Mata, Ignacio. Universidad Nacional de Mar del Plata; Argentina. 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: Saraceno, Marcos. Comisión Nacional de Energía Atómica; Argentina. Universidad Nacional de San Martín; Argentina
Fil: Jalabert, Rodolfo. Université de Strasbourg; Francia
Fil: Roncaglia, Augusto Jose. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Marinas y Costeras. Subsede Instituto Nacional de Investigación y Desarrollo Pesquero; Argentina
Fil: Wisniacki, Diego Ariel. Universidad de Buenos Aires; Argentina
description Two properties are needed for a classical system to be chaotic: exponential stretching and mixing. Recently, out-of-time order correlators were proposed as a measure of chaos in a wide range of physical systems. While most of the attention has previously been devoted to the short time stretching aspect of chaos, characterized by the Lyapunov exponent, we show for quantum maps that the out-of-time correlator approaches its stationary value exponentially with a rate determined by the Ruelle-Pollicot resonances. This property constitutes clear evidence of the dual role of the underlying classical chaos dictating the behavior of the correlator at different timescales.
publishDate 2018
dc.date.none.fl_str_mv 2018-11
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/11336/88886
Garcia-Mata, Ignacio; Saraceno, Marcos; Jalabert, Rodolfo; Roncaglia, Augusto Jose; Wisniacki, Diego Ariel; Chaos signatures in the short and long time behavior of the Out-of-Time ordered correlator; American Physical Society; Physical Review Letters; 121; 21; 11-2018; 210601-210605
0031-9007
CONICET Digital
CONICET
url http://hdl.handle.net/11336/88886
identifier_str_mv Garcia-Mata, Ignacio; Saraceno, Marcos; Jalabert, Rodolfo; Roncaglia, Augusto Jose; Wisniacki, Diego Ariel; Chaos signatures in the short and long time behavior of the Out-of-Time ordered correlator; American Physical Society; Physical Review Letters; 121; 21; 11-2018; 210601-210605
0031-9007
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.210601
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.121.210601
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
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
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score 13.070432

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