Quantum Lyapunov exponent in dissipative systems

Autores
Bergamasco, Pablo D.; Carlo, Gabriel Gustavo; Rivas, Alejandro Mariano Fidel
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The out-of-time order correlator (OTOC) has been widely studied in closed quantum systems. However, there are very few studies for open systems and they are mainly focused on isolating the effects of scrambling from those of decoherence. Adopting a different point of view, we study the interplay between these two processes. This proves crucial in order to explain the OTOC behavior when a phase space contracting dissipation is present, ubiquitous not only in real life quantum devices but in the dynamical systems area. The OTOC decay rate is closely related to the classical Lyapunov exponent - with some differences - and more sensitive in order to distinguish the chaotic from the regular behavior than other measures. On the other hand, it is revealed as a generally simple function of the longest lived eigenvalues of the quantum evolution operator. We find no simple connection with the Ruelle-Pollicott resonances, but by adding Gaussian noise of ℏeff size to the classical system we recover the OTOC decay rate, which is a consequence of the correspondence principle put forward in Phys.
Fil: Bergamasco, Pablo D.. Comisión Nacional de Energía Atómica; Argentina
Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rivas, Alejandro Mariano Fidel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; Argentina
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Sistemas Abiertos
Caos Cuantico
limite clasico cuantico
complejidad
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acceso abierto
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https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
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CONICET Digital (CONICET)
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Consejo Nacional de Investigaciones Científicas y Técnicas
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oai:ri.conicet.gov.ar:11336/219715
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network_name_str CONICET Digital (CONICET)
spelling Quantum Lyapunov exponent in dissipative systemsBergamasco, Pablo D.Carlo, Gabriel GustavoRivas, Alejandro Mariano FidelSistemas AbiertosCaos Cuanticolimite clasico cuanticocomplejidadhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The out-of-time order correlator (OTOC) has been widely studied in closed quantum systems. However, there are very few studies for open systems and they are mainly focused on isolating the effects of scrambling from those of decoherence. Adopting a different point of view, we study the interplay between these two processes. This proves crucial in order to explain the OTOC behavior when a phase space contracting dissipation is present, ubiquitous not only in real life quantum devices but in the dynamical systems area. The OTOC decay rate is closely related to the classical Lyapunov exponent - with some differences - and more sensitive in order to distinguish the chaotic from the regular behavior than other measures. On the other hand, it is revealed as a generally simple function of the longest lived eigenvalues of the quantum evolution operator. We find no simple connection with the Ruelle-Pollicott resonances, but by adding Gaussian noise of ℏeff size to the classical system we recover the OTOC decay rate, which is a consequence of the correspondence principle put forward in Phys.Fil: Bergamasco, Pablo D.. Comisión Nacional de Energía Atómica; ArgentinaFil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Rivas, Alejandro Mariano Fidel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; ArgentinaAmerican Physical Society2023-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/219715Bergamasco, Pablo D.; Carlo, Gabriel Gustavo; Rivas, Alejandro Mariano Fidel; Quantum Lyapunov exponent in dissipative systems; American Physical Society; Physical Review E; 108; 2; 8-2023; 1-72470-00452470-0053CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.108.024208info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:51:49Zoai:ri.conicet.gov.ar:11336/219715instacron: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 09:51:49.617CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Quantum Lyapunov exponent in dissipative systems
title Quantum Lyapunov exponent in dissipative systems
spellingShingle Quantum Lyapunov exponent in dissipative systems
Bergamasco, Pablo D.
Sistemas Abiertos
Caos Cuantico
limite clasico cuantico
complejidad
title_short Quantum Lyapunov exponent in dissipative systems
title_full Quantum Lyapunov exponent in dissipative systems
title_fullStr Quantum Lyapunov exponent in dissipative systems
title_full_unstemmed Quantum Lyapunov exponent in dissipative systems
title_sort Quantum Lyapunov exponent in dissipative systems
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 Sistemas Abiertos
Caos Cuantico
limite clasico cuantico
complejidad
topic Sistemas Abiertos
Caos Cuantico
limite clasico cuantico
complejidad
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The out-of-time order correlator (OTOC) has been widely studied in closed quantum systems. However, there are very few studies for open systems and they are mainly focused on isolating the effects of scrambling from those of decoherence. Adopting a different point of view, we study the interplay between these two processes. This proves crucial in order to explain the OTOC behavior when a phase space contracting dissipation is present, ubiquitous not only in real life quantum devices but in the dynamical systems area. The OTOC decay rate is closely related to the classical Lyapunov exponent - with some differences - and more sensitive in order to distinguish the chaotic from the regular behavior than other measures. On the other hand, it is revealed as a generally simple function of the longest lived eigenvalues of the quantum evolution operator. We find no simple connection with the Ruelle-Pollicott resonances, but by adding Gaussian noise of ℏeff size to the classical system we recover the OTOC decay rate, which is a consequence of the correspondence principle put forward in Phys.
Fil: Bergamasco, Pablo D.. Comisión Nacional de Energía Atómica; Argentina
Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rivas, Alejandro Mariano Fidel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; Argentina
description The out-of-time order correlator (OTOC) has been widely studied in closed quantum systems. However, there are very few studies for open systems and they are mainly focused on isolating the effects of scrambling from those of decoherence. Adopting a different point of view, we study the interplay between these two processes. This proves crucial in order to explain the OTOC behavior when a phase space contracting dissipation is present, ubiquitous not only in real life quantum devices but in the dynamical systems area. The OTOC decay rate is closely related to the classical Lyapunov exponent - with some differences - and more sensitive in order to distinguish the chaotic from the regular behavior than other measures. On the other hand, it is revealed as a generally simple function of the longest lived eigenvalues of the quantum evolution operator. We find no simple connection with the Ruelle-Pollicott resonances, but by adding Gaussian noise of ℏeff size to the classical system we recover the OTOC decay rate, which is a consequence of the correspondence principle put forward in Phys.
publishDate 2023
dc.date.none.fl_str_mv 2023-08
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/11336/219715
Bergamasco, Pablo D.; Carlo, Gabriel Gustavo; Rivas, Alejandro Mariano Fidel; Quantum Lyapunov exponent in dissipative systems; American Physical Society; Physical Review E; 108; 2; 8-2023; 1-7
2470-0045
2470-0053
CONICET Digital
CONICET
url http://hdl.handle.net/11336/219715
identifier_str_mv Bergamasco, Pablo D.; Carlo, Gabriel Gustavo; Rivas, Alejandro Mariano Fidel; Quantum Lyapunov exponent in dissipative systems; American Physical Society; Physical Review E; 108; 2; 8-2023; 1-7
2470-0045
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.108.024208
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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