Quantum and classical complexity in coupled maps

We study a generic and paradigmatic two-degrees-of-freedom system consisting of two coupled perturbed cat maps with different types of dynamics. The Wigner separability entropy (WSE)—equivalent to the operator space entanglement entropy—and the classical separability entropy (CSE) are used as measur...

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Authors: Bergamasco, Pablo D., Carlo, Gabriel Gustavo, Rivas, Alejandro Mariano Fidel
Format: article
Status:Published version
Publication Date:2017
Country:Argentina
Institution:Consejo Nacional de Investigaciones Científicas y Técnicas
Repository:CONICET Digital (CONICET)
Language:English
OAI Identifier:oai:ri.conicet.gov.ar:11336/41390
Online Access:http://hdl.handle.net/11336/41390
Access Level:Open access
Keyword:EIGENSTATE THERMALIZATION
QUANTUM CHAOS
QUANTUM STATISTICAL MECHANICS
WAVE CHAOS
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
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spelling Quantum and classical complexity in coupled mapsBergamasco, Pablo D.Carlo, Gabriel GustavoRivas, Alejandro Mariano FidelEIGENSTATE THERMALIZATIONQUANTUM CHAOSQUANTUM STATISTICAL MECHANICSWAVE CHAOShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study a generic and paradigmatic two-degrees-of-freedom system consisting of two coupled perturbed cat maps with different types of dynamics. The Wigner separability entropy (WSE)—equivalent to the operator space entanglement entropy—and the classical separability entropy (CSE) are used as measures of complexity. For the case where both degrees of freedom are hyperbolic, the maps are classically ergodic and the WSE and the CSE behave similarly, growing to higher values than in the doubly elliptic case. However, when one map is elliptic and the other hyperbolic, the WSE reaches the same asymptotic value than that of the doubly hyperbolic case but at a much slower rate. The CSE only follows the WSE for a few map steps, revealing that classical dynamical features are not enough to explain complexity growth.Fil: Bergamasco, Pablo D.. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaFil: Carlo, Gabriel Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaFil: Rivas, Alejandro Mariano Fidel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaAmerican Physical Society2017-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/41390Bergamasco, Pablo D.; Carlo, Gabriel Gustavo; Rivas, Alejandro Mariano Fidel; Quantum and classical complexity in coupled maps; American Physical Society; Physical Review E; 96; 6; 12-2017; 621441-6214462470-0053CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.96.062144info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.062144info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:40:39Zoai:ri.conicet.gov.ar:11336/41390instacron: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:34982024-05-08 13:40:39.357CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Quantum and classical complexity in coupled maps
title Quantum and classical complexity in coupled maps
spellingShingle Quantum and classical complexity in coupled maps
Bergamasco, Pablo D.
EIGENSTATE THERMALIZATION
QUANTUM CHAOS
QUANTUM STATISTICAL MECHANICS
WAVE CHAOS
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
title_short Quantum and classical complexity in coupled maps
title_full Quantum and classical complexity in coupled maps
title_fullStr Quantum and classical complexity in coupled maps
title_full_unstemmed Quantum and classical complexity in coupled maps
title_sort Quantum and classical complexity in coupled maps
dc.creator.none.fl_str_mv Bergamasco, Pablo D.
Carlo, Gabriel Gustavo
Rivas, Alejandro Mariano Fidel
author Bergamasco, Pablo D.
author_facet Bergamasco, Pablo D.
Carlo, Gabriel Gustavo
Rivas, Alejandro Mariano Fidel
author_role author
author2 Carlo, Gabriel Gustavo
Rivas, Alejandro Mariano Fidel
author2_role author
author
dc.subject.none.fl_str_mv EIGENSTATE THERMALIZATION
QUANTUM CHAOS
QUANTUM STATISTICAL MECHANICS
WAVE CHAOS
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
topic EIGENSTATE THERMALIZATION
QUANTUM CHAOS
QUANTUM STATISTICAL MECHANICS
WAVE CHAOS
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
description We study a generic and paradigmatic two-degrees-of-freedom system consisting of two coupled perturbed cat maps with different types of dynamics. The Wigner separability entropy (WSE)—equivalent to the operator space entanglement entropy—and the classical separability entropy (CSE) are used as measures of complexity. For the case where both degrees of freedom are hyperbolic, the maps are classically ergodic and the WSE and the CSE behave similarly, growing to higher values than in the doubly elliptic case. However, when one map is elliptic and the other hyperbolic, the WSE reaches the same asymptotic value than that of the doubly hyperbolic case but at a much slower rate. The CSE only follows the WSE for a few map steps, revealing that classical dynamical features are not enough to explain complexity growth.
publishDate 2017
dc.date.none.fl_str_mv 2017-12
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/11336/41390
Bergamasco, Pablo D.; Carlo, Gabriel Gustavo; Rivas, Alejandro Mariano Fidel; Quantum and classical complexity in coupled maps; American Physical Society; Physical Review E; 96; 6; 12-2017; 621441-621446
2470-0053
CONICET Digital
CONICET
url http://hdl.handle.net/11336/41390
identifier_str_mv Bergamasco, Pablo D.; Carlo, Gabriel Gustavo; Rivas, Alejandro Mariano Fidel; Quantum and classical complexity in coupled maps; American Physical Society; Physical Review E; 96; 6; 12-2017; 621441-621446
2470-0053
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.96.062144
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.062144
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
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
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_ 1799194989339607040
score 15.81155

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