Signatures of classical structures in the leading eigenstates of quantum dissipative systems

Autores
Carlo, Gabriel G.; Ermann, Leonardo; Rivas, Alejandro Mariano Fidel; Spina, Maria Elena
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
By analyzing a paradigmatic example of the theory of dissipative systems - the classical and quantum dissipative standard map - we are able to explain the main features of the decay to the quantum equilibrium state. The classical isoperiodic stable structures typically present in the parameter space of these kinds of systems play a fundamental role. In fact, we have found that the period of stable structures that are near in this space determines the phase of the leading eigenstates of the corresponding quantum superoperator. Moreover, the eigenvectors show a strong localization on the corresponding periodic orbits (limit cycles). We show that this sort of scarring phenomenon (an established property of Hamiltonian and projectively open systems) is present in the dissipative case and it is of extreme simplicity.
Fil: Carlo, Gabriel G.. Comisión Nacional de Energía Atómica; Argentina
Fil: Ermann, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; Argentina
Fil: Rivas, Alejandro Mariano Fidel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; Argentina
Fil: Spina, Maria Elena. Comisión Nacional de Energía Atómica; Argentina
Materia
Quantum dissipative systems
Classical and quantum correpondence
Scarring of periodic orbits
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:11336/75208
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/75208
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Signatures of classical structures in the leading eigenstates of quantum dissipative systemsCarlo, Gabriel G.Ermann, LeonardoRivas, Alejandro Mariano FidelSpina, Maria ElenaQuantum dissipative systemsClassical and quantum correpondenceScarring of periodic orbitshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1By analyzing a paradigmatic example of the theory of dissipative systems - the classical and quantum dissipative standard map - we are able to explain the main features of the decay to the quantum equilibrium state. The classical isoperiodic stable structures typically present in the parameter space of these kinds of systems play a fundamental role. In fact, we have found that the period of stable structures that are near in this space determines the phase of the leading eigenstates of the corresponding quantum superoperator. Moreover, the eigenvectors show a strong localization on the corresponding periodic orbits (limit cycles). We show that this sort of scarring phenomenon (an established property of Hamiltonian and projectively open systems) is present in the dissipative case and it is of extreme simplicity.Fil: Carlo, Gabriel G.. Comisión Nacional de Energía Atómica; ArgentinaFil: Ermann, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; ArgentinaFil: Rivas, Alejandro Mariano Fidel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; ArgentinaFil: Spina, Maria Elena. Comisión Nacional de Energía Atómica; ArgentinaAmerican Physical Society2017-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/75208Carlo, Gabriel G.; Ermann, Leonardo; Rivas, Alejandro Mariano Fidel; Spina, Maria Elena; Signatures of classical structures in the leading eigenstates of quantum dissipative systems; American Physical Society; Physical Review E; 96; 3; 9-2017; 1-52470-0053CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.96.032202info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/pdf/10.1103/PhysRevE.96.032202info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:20:33Zoai:ri.conicet.gov.ar:11336/75208instacron: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 10:20:33.348CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Signatures of classical structures in the leading eigenstates of quantum dissipative systems
title Signatures of classical structures in the leading eigenstates of quantum dissipative systems
spellingShingle Signatures of classical structures in the leading eigenstates of quantum dissipative systems
Carlo, Gabriel G.
Quantum dissipative systems
Classical and quantum correpondence
Scarring of periodic orbits
title_short Signatures of classical structures in the leading eigenstates of quantum dissipative systems
title_full Signatures of classical structures in the leading eigenstates of quantum dissipative systems
title_fullStr Signatures of classical structures in the leading eigenstates of quantum dissipative systems
title_full_unstemmed Signatures of classical structures in the leading eigenstates of quantum dissipative systems
title_sort Signatures of classical structures in the leading eigenstates of quantum dissipative systems
dc.creator.none.fl_str_mv Carlo, Gabriel G.
Ermann, Leonardo
Rivas, Alejandro Mariano Fidel
Spina, Maria Elena
author Carlo, Gabriel G.
author_facet Carlo, Gabriel G.
Ermann, Leonardo
Rivas, Alejandro Mariano Fidel
Spina, Maria Elena
author_role author
author2 Ermann, Leonardo
Rivas, Alejandro Mariano Fidel
Spina, Maria Elena
author2_role author
author
author
dc.subject.none.fl_str_mv Quantum dissipative systems
Classical and quantum correpondence
Scarring of periodic orbits
topic Quantum dissipative systems
Classical and quantum correpondence
Scarring of periodic orbits
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv By analyzing a paradigmatic example of the theory of dissipative systems - the classical and quantum dissipative standard map - we are able to explain the main features of the decay to the quantum equilibrium state. The classical isoperiodic stable structures typically present in the parameter space of these kinds of systems play a fundamental role. In fact, we have found that the period of stable structures that are near in this space determines the phase of the leading eigenstates of the corresponding quantum superoperator. Moreover, the eigenvectors show a strong localization on the corresponding periodic orbits (limit cycles). We show that this sort of scarring phenomenon (an established property of Hamiltonian and projectively open systems) is present in the dissipative case and it is of extreme simplicity.
Fil: Carlo, Gabriel G.. Comisión Nacional de Energía Atómica; Argentina
Fil: Ermann, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; Argentina
Fil: Rivas, Alejandro Mariano Fidel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; Argentina
Fil: Spina, Maria Elena. Comisión Nacional de Energía Atómica; Argentina
description By analyzing a paradigmatic example of the theory of dissipative systems - the classical and quantum dissipative standard map - we are able to explain the main features of the decay to the quantum equilibrium state. The classical isoperiodic stable structures typically present in the parameter space of these kinds of systems play a fundamental role. In fact, we have found that the period of stable structures that are near in this space determines the phase of the leading eigenstates of the corresponding quantum superoperator. Moreover, the eigenvectors show a strong localization on the corresponding periodic orbits (limit cycles). We show that this sort of scarring phenomenon (an established property of Hamiltonian and projectively open systems) is present in the dissipative case and it is of extreme simplicity.
publishDate 2017
dc.date.none.fl_str_mv 2017-09
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/11336/75208
Carlo, Gabriel G.; Ermann, Leonardo; Rivas, Alejandro Mariano Fidel; Spina, Maria Elena; Signatures of classical structures in the leading eigenstates of quantum dissipative systems; American Physical Society; Physical Review E; 96; 3; 9-2017; 1-5
2470-0053
CONICET Digital
CONICET
url http://hdl.handle.net/11336/75208
identifier_str_mv Carlo, Gabriel G.; Ermann, Leonardo; Rivas, Alejandro Mariano Fidel; Spina, Maria Elena; Signatures of classical structures in the leading eigenstates of quantum dissipative systems; American Physical Society; Physical Review E; 96; 3; 9-2017; 1-5
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.96.032202
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/pdf/10.1103/PhysRevE.96.032202
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
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score 13.070432

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