Gauging classical and quantum integrability through out-of-time-ordered correlators

Autores
Fortes, Emiliano M.; Garcia-Mata, Ignacio; Jalabert, Rodolfo; Wisniacki, Diego Ariel
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Out-of-time-ordered correlators (OTOCs) have been proposed as a probe of chaos in quantum mechanics, on the basis of their short-time exponential growth found in some particular setups. However, it has been seen that this behavior is not universal. Therefore, we query other quantum chaos manifestations arising from the OTOCs, and we thus study their long-time behavior in systems of completely different nature: quantum maps, which are the simplest chaotic one-body system, and spin chains, which are many-body systems without a classical limit. It is shown that studying the long-time regime of the OTOCs it is possible to detect and gauge the transition between integrability and chaos, and we benchmark the transition with other indicators of quantum chaos based on the spectra and the eigenstates of the systems considered. For systems with a classical analog, we show that the proposed OTOC indicators have a very high accuracy that allow us to detect subtle features along the integrability-to-chaos transition.
Fil: Fortes, Emiliano M.. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Garcia-Mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Jalabert, Rodolfo. Université de Strasbourg; Francia
Fil: Wisniacki, Diego Ariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Materia
QUANTUM
CHAOS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/122921
Acceder
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spelling Gauging classical and quantum integrability through out-of-time-ordered correlatorsFortes, Emiliano M.Garcia-Mata, IgnacioJalabert, RodolfoWisniacki, Diego ArielQUANTUMCHAOShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Out-of-time-ordered correlators (OTOCs) have been proposed as a probe of chaos in quantum mechanics, on the basis of their short-time exponential growth found in some particular setups. However, it has been seen that this behavior is not universal. Therefore, we query other quantum chaos manifestations arising from the OTOCs, and we thus study their long-time behavior in systems of completely different nature: quantum maps, which are the simplest chaotic one-body system, and spin chains, which are many-body systems without a classical limit. It is shown that studying the long-time regime of the OTOCs it is possible to detect and gauge the transition between integrability and chaos, and we benchmark the transition with other indicators of quantum chaos based on the spectra and the eigenstates of the systems considered. For systems with a classical analog, we show that the proposed OTOC indicators have a very high accuracy that allow us to detect subtle features along the integrability-to-chaos transition.Fil: Fortes, Emiliano M.. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaFil: Garcia-Mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: Jalabert, Rodolfo. Université de Strasbourg; FranciaFil: Wisniacki, Diego Ariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaAmerican Physical Society2019-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/122921Fortes, Emiliano M.; Garcia-Mata, Ignacio; Jalabert, Rodolfo; Wisniacki, Diego Ariel; Gauging classical and quantum integrability through out-of-time-ordered correlators; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics; 100; 4; 10-2019; 1-131063-651XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.042201info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.100.042201info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:51:23Zoai:ri.conicet.gov.ar:11336/122921instacron: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 09:51:23.849CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Gauging classical and quantum integrability through out-of-time-ordered correlators
title Gauging classical and quantum integrability through out-of-time-ordered correlators
spellingShingle Gauging classical and quantum integrability through out-of-time-ordered correlators
Fortes, Emiliano M.
QUANTUM
CHAOS
title_short Gauging classical and quantum integrability through out-of-time-ordered correlators
title_full Gauging classical and quantum integrability through out-of-time-ordered correlators
title_fullStr Gauging classical and quantum integrability through out-of-time-ordered correlators
title_full_unstemmed Gauging classical and quantum integrability through out-of-time-ordered correlators
title_sort Gauging classical and quantum integrability through out-of-time-ordered correlators
dc.creator.none.fl_str_mv Fortes, Emiliano M.
Garcia-Mata, Ignacio
Jalabert, Rodolfo
Wisniacki, Diego Ariel
author Fortes, Emiliano M.
author_facet Fortes, Emiliano M.
Garcia-Mata, Ignacio
Jalabert, Rodolfo
Wisniacki, Diego Ariel
author_role author
author2 Garcia-Mata, Ignacio
Jalabert, Rodolfo
Wisniacki, Diego Ariel
author2_role author
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 Out-of-time-ordered correlators (OTOCs) have been proposed as a probe of chaos in quantum mechanics, on the basis of their short-time exponential growth found in some particular setups. However, it has been seen that this behavior is not universal. Therefore, we query other quantum chaos manifestations arising from the OTOCs, and we thus study their long-time behavior in systems of completely different nature: quantum maps, which are the simplest chaotic one-body system, and spin chains, which are many-body systems without a classical limit. It is shown that studying the long-time regime of the OTOCs it is possible to detect and gauge the transition between integrability and chaos, and we benchmark the transition with other indicators of quantum chaos based on the spectra and the eigenstates of the systems considered. For systems with a classical analog, we show that the proposed OTOC indicators have a very high accuracy that allow us to detect subtle features along the integrability-to-chaos transition.
Fil: Fortes, Emiliano M.. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Garcia-Mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Jalabert, Rodolfo. Université de Strasbourg; Francia
Fil: Wisniacki, Diego Ariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
description Out-of-time-ordered correlators (OTOCs) have been proposed as a probe of chaos in quantum mechanics, on the basis of their short-time exponential growth found in some particular setups. However, it has been seen that this behavior is not universal. Therefore, we query other quantum chaos manifestations arising from the OTOCs, and we thus study their long-time behavior in systems of completely different nature: quantum maps, which are the simplest chaotic one-body system, and spin chains, which are many-body systems without a classical limit. It is shown that studying the long-time regime of the OTOCs it is possible to detect and gauge the transition between integrability and chaos, and we benchmark the transition with other indicators of quantum chaos based on the spectra and the eigenstates of the systems considered. For systems with a classical analog, we show that the proposed OTOC indicators have a very high accuracy that allow us to detect subtle features along the integrability-to-chaos transition.
publishDate 2019
dc.date.none.fl_str_mv 2019-10
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/11336/122921
Fortes, Emiliano M.; Garcia-Mata, Ignacio; Jalabert, Rodolfo; Wisniacki, Diego Ariel; Gauging classical and quantum integrability through out-of-time-ordered correlators; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics; 100; 4; 10-2019; 1-13
1063-651X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/122921
identifier_str_mv Fortes, Emiliano M.; Garcia-Mata, Ignacio; Jalabert, Rodolfo; Wisniacki, Diego Ariel; Gauging classical and quantum integrability through out-of-time-ordered correlators; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics; 100; 4; 10-2019; 1-13
1063-651X
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/pre/abstract/10.1103/PhysRevE.100.042201
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.100.042201
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/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
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score 13.070432

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