Classical to quantum correspondence in dissipative directed transport

Autores
Carlo, Gabriel Gustavo; Rivas, Alejandro Mariano Fidel; Spina, Maria Elena
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We compare the quantum and classical properties of the (quantum) isoperiodic stable structures [(Q)ISSs],which organize the parameter space of a paradigmatic dissipative ratchet model, i.e., the dissipative modifiedkicked rotator. We study the spectral behavior of the corresponding classical Perron-Frobenius operators withthermal noise and the quantum superoperators without it for small eff values. We find a remarkable similaritybetween the classical and quantum spectra. This finding significantly extends previous results?obtained forthe mean currents and asymptotic distributions only?and, on the other hand, unveils a classical to quantumcorrespondence mechanism where the classical noise is qualitatively different from the quantum one. This iscrucial not only for simple attractors but also for chaotic ones, where just analyzing the asymptotic distribution isrevealed as insufficient. Moreover, we provide with a detailed characterization of relevant eigenvectors by meansof the corresponding Weyl-Wigner distributions, in order to better identify similarities and differences. Finally,this model being generic, it allows us to conjecture that this classical to quantum correspondence mechanism isa universal feature of dissipative systems.
Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigaciones y Aplicaciones no Nucleares. Gerencia de Física (Centro Atómico Constituyentes); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rivas, Alejandro Mariano Fidel. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigaciones y Aplicaciones no Nucleares. Gerencia de Física (Centro Atómico Constituyentes); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Spina, Maria Elena. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigaciones y Aplicaciones no Nucleares. Gerencia de Física (Centro Atómico Constituyentes); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Open Quantum Systems
Decoherence
Spectral Properpies
Dissipative Systems
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:11336/42281
Acceder
id CONICETDig_6b898902629e7de165df727e0b4b9d3e
oai_identifier_str oai:ri.conicet.gov.ar:11336/42281
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Classical to quantum correspondence in dissipative directed transportCarlo, Gabriel GustavoRivas, Alejandro Mariano FidelSpina, Maria ElenaOpen Quantum SystemsDecoherenceSpectral ProperpiesDissipative Systemshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We compare the quantum and classical properties of the (quantum) isoperiodic stable structures [(Q)ISSs],which organize the parameter space of a paradigmatic dissipative ratchet model, i.e., the dissipative modifiedkicked rotator. We study the spectral behavior of the corresponding classical Perron-Frobenius operators withthermal noise and the quantum superoperators without it for small eff values. We find a remarkable similaritybetween the classical and quantum spectra. This finding significantly extends previous results?obtained forthe mean currents and asymptotic distributions only?and, on the other hand, unveils a classical to quantumcorrespondence mechanism where the classical noise is qualitatively different from the quantum one. This iscrucial not only for simple attractors but also for chaotic ones, where just analyzing the asymptotic distribution isrevealed as insufficient. Moreover, we provide with a detailed characterization of relevant eigenvectors by meansof the corresponding Weyl-Wigner distributions, in order to better identify similarities and differences. Finally,this model being generic, it allows us to conjecture that this classical to quantum correspondence mechanism isa universal feature of dissipative systems.Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigaciones y Aplicaciones no Nucleares. Gerencia de Física (Centro Atómico Constituyentes); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Rivas, Alejandro Mariano Fidel. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigaciones y Aplicaciones no Nucleares. Gerencia de Física (Centro Atómico Constituyentes); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Spina, Maria Elena. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigaciones y Aplicaciones no Nucleares. Gerencia de Física (Centro Atómico Constituyentes); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAmerican Physical Society2015-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/42281Carlo, Gabriel Gustavo; Rivas, Alejandro Mariano Fidel; Spina, Maria Elena; Classical to quantum correspondence in dissipative directed transport; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 92; 5; 11-2015; 1-8; 0529071539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.92.052907info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.052907info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:06:42Zoai:ri.conicet.gov.ar:11336/42281instacron: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 10:06:42.984CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Classical to quantum correspondence in dissipative directed transport
title Classical to quantum correspondence in dissipative directed transport
spellingShingle Classical to quantum correspondence in dissipative directed transport
Carlo, Gabriel Gustavo
Open Quantum Systems
Decoherence
Spectral Properpies
Dissipative Systems
title_short Classical to quantum correspondence in dissipative directed transport
title_full Classical to quantum correspondence in dissipative directed transport
title_fullStr Classical to quantum correspondence in dissipative directed transport
title_full_unstemmed Classical to quantum correspondence in dissipative directed transport
title_sort Classical to quantum correspondence in dissipative directed transport
dc.creator.none.fl_str_mv Carlo, Gabriel Gustavo
Rivas, Alejandro Mariano Fidel
Spina, Maria Elena
author Carlo, Gabriel Gustavo
author_facet Carlo, Gabriel Gustavo
Rivas, Alejandro Mariano Fidel
Spina, Maria Elena
author_role author
author2 Rivas, Alejandro Mariano Fidel
Spina, Maria Elena
author2_role author
author
dc.subject.none.fl_str_mv Open Quantum Systems
Decoherence
Spectral Properpies
Dissipative Systems
topic Open Quantum Systems
Decoherence
Spectral Properpies
Dissipative Systems
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We compare the quantum and classical properties of the (quantum) isoperiodic stable structures [(Q)ISSs],which organize the parameter space of a paradigmatic dissipative ratchet model, i.e., the dissipative modifiedkicked rotator. We study the spectral behavior of the corresponding classical Perron-Frobenius operators withthermal noise and the quantum superoperators without it for small eff values. We find a remarkable similaritybetween the classical and quantum spectra. This finding significantly extends previous results?obtained forthe mean currents and asymptotic distributions only?and, on the other hand, unveils a classical to quantumcorrespondence mechanism where the classical noise is qualitatively different from the quantum one. This iscrucial not only for simple attractors but also for chaotic ones, where just analyzing the asymptotic distribution isrevealed as insufficient. Moreover, we provide with a detailed characterization of relevant eigenvectors by meansof the corresponding Weyl-Wigner distributions, in order to better identify similarities and differences. Finally,this model being generic, it allows us to conjecture that this classical to quantum correspondence mechanism isa universal feature of dissipative systems.
Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigaciones y Aplicaciones no Nucleares. Gerencia de Física (Centro Atómico Constituyentes); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rivas, Alejandro Mariano Fidel. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigaciones y Aplicaciones no Nucleares. Gerencia de Física (Centro Atómico Constituyentes); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Spina, Maria Elena. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigaciones y Aplicaciones no Nucleares. Gerencia de Física (Centro Atómico Constituyentes); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We compare the quantum and classical properties of the (quantum) isoperiodic stable structures [(Q)ISSs],which organize the parameter space of a paradigmatic dissipative ratchet model, i.e., the dissipative modifiedkicked rotator. We study the spectral behavior of the corresponding classical Perron-Frobenius operators withthermal noise and the quantum superoperators without it for small eff values. We find a remarkable similaritybetween the classical and quantum spectra. This finding significantly extends previous results?obtained forthe mean currents and asymptotic distributions only?and, on the other hand, unveils a classical to quantumcorrespondence mechanism where the classical noise is qualitatively different from the quantum one. This iscrucial not only for simple attractors but also for chaotic ones, where just analyzing the asymptotic distribution isrevealed as insufficient. Moreover, we provide with a detailed characterization of relevant eigenvectors by meansof the corresponding Weyl-Wigner distributions, in order to better identify similarities and differences. Finally,this model being generic, it allows us to conjecture that this classical to quantum correspondence mechanism isa universal feature of dissipative systems.
publishDate 2015
dc.date.none.fl_str_mv 2015-11
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/11336/42281
Carlo, Gabriel Gustavo; Rivas, Alejandro Mariano Fidel; Spina, Maria Elena; Classical to quantum correspondence in dissipative directed transport; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 92; 5; 11-2015; 1-8; 052907
1539-3755
CONICET Digital
CONICET
url http://hdl.handle.net/11336/42281
identifier_str_mv Carlo, Gabriel Gustavo; Rivas, Alejandro Mariano Fidel; Spina, Maria Elena; Classical to quantum correspondence in dissipative directed transport; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 92; 5; 11-2015; 1-8; 052907
1539-3755
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.92.052907
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.052907
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_ 1844613919328436224
score 13.070432

Publicaciones similares