Quantum collisional thermostats

Collisional reservoirs are becoming a major tool for modelling open quantum systems. In their simplest implementation, an external agent switches on, for a given time, the interaction between the system and a specimen from the reservoir. Generically, in this operation the external agent performs wor...

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Autores: Tabanera Bravo, Jorge, Luque, Inés, Jacob, Samuel L, Esposito, Massimiliano, Barra, Felipe, Rodríguez Parrondo, Juan Manuel
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/71461
Acceso en línea:https://hdl.handle.net/20.500.14352/71461
Access Level:acceso abierto
Palabra clave:539.1
Quantum thermodynamics
Quantum thermostats
Collisional reservoirs
Open quantum systems
Física nuclear
2207 Física Atómica y Nuclear
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spelling Quantum collisional thermostatsTabanera Bravo, JorgeLuque, InésJacob, Samuel LEsposito, MassimilianoBarra, FelipeRodríguez Parrondo, Juan Manuel539.1Quantum thermodynamicsQuantum thermostatsCollisional reservoirsOpen quantum systemsFísica nuclear2207 Física Atómica y NuclearCollisional reservoirs are becoming a major tool for modelling open quantum systems. In their simplest implementation, an external agent switches on, for a given time, the interaction between the system and a specimen from the reservoir. Generically, in this operation the external agent performs work onto the system, preventing thermalization when the reservoir is at equilibrium. One can recover thermalization by considering an autonomous global setup where the reservoir particles colliding with the system possess a kinetic degree of freedom. The drawback is that the corresponding scattering problem is rather involved. Here, we present a formal solution of the problem in one dimension and for flat interaction potentials. The solution is based on the transfer matrix formalism and allows one to explore the symmetries of the resulting scattering map. One of these symmetries is micro-reversibility, which is a condition for thermalization. We then introduce two approximations of the scattering map that preserve these symmetries and, consequently, thermalize the system. These relatively simple approximate solutions constitute models of quantum thermostats and are useful tools to study quantum systems in contact with thermal baths. We illustrate their accuracy in a specific example, showing that both are good approximations of the exact scattering problem even in situations far from equilibrium. Moreover, one of the models consists of the removal of certain coherences plus a very specific randomization of the interaction time. These two features allow one to identify as heat the energy transfer due to switching on and off the interaction. Our results prompt the fundamental question of how to distinguish between heat and work from the statistical properties of the exchange of energy between a system and its surroundings.IOP PublishingUniversidad Complutense de Madrid20222022-02-0120222022-02-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/71461reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/714612026-06-02T12:44:21Z
dc.title.none.fl_str_mv Quantum collisional thermostats
title Quantum collisional thermostats
spellingShingle Quantum collisional thermostats
Tabanera Bravo, Jorge
539.1
Quantum thermodynamics
Quantum thermostats
Collisional reservoirs
Open quantum systems
Física nuclear
2207 Física Atómica y Nuclear
title_short Quantum collisional thermostats
title_full Quantum collisional thermostats
title_fullStr Quantum collisional thermostats
title_full_unstemmed Quantum collisional thermostats
title_sort Quantum collisional thermostats
dc.creator.none.fl_str_mv Tabanera Bravo, Jorge
Luque, Inés
Jacob, Samuel L
Esposito, Massimiliano
Barra, Felipe
Rodríguez Parrondo, Juan Manuel
author Tabanera Bravo, Jorge
author_facet Tabanera Bravo, Jorge
Luque, Inés
Jacob, Samuel L
Esposito, Massimiliano
Barra, Felipe
Rodríguez Parrondo, Juan Manuel
author_role author
author2 Luque, Inés
Jacob, Samuel L
Esposito, Massimiliano
Barra, Felipe
Rodríguez Parrondo, Juan Manuel
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 539.1
Quantum thermodynamics
Quantum thermostats
Collisional reservoirs
Open quantum systems
Física nuclear
2207 Física Atómica y Nuclear
topic 539.1
Quantum thermodynamics
Quantum thermostats
Collisional reservoirs
Open quantum systems
Física nuclear
2207 Física Atómica y Nuclear
description Collisional reservoirs are becoming a major tool for modelling open quantum systems. In their simplest implementation, an external agent switches on, for a given time, the interaction between the system and a specimen from the reservoir. Generically, in this operation the external agent performs work onto the system, preventing thermalization when the reservoir is at equilibrium. One can recover thermalization by considering an autonomous global setup where the reservoir particles colliding with the system possess a kinetic degree of freedom. The drawback is that the corresponding scattering problem is rather involved. Here, we present a formal solution of the problem in one dimension and for flat interaction potentials. The solution is based on the transfer matrix formalism and allows one to explore the symmetries of the resulting scattering map. One of these symmetries is micro-reversibility, which is a condition for thermalization. We then introduce two approximations of the scattering map that preserve these symmetries and, consequently, thermalize the system. These relatively simple approximate solutions constitute models of quantum thermostats and are useful tools to study quantum systems in contact with thermal baths. We illustrate their accuracy in a specific example, showing that both are good approximations of the exact scattering problem even in situations far from equilibrium. Moreover, one of the models consists of the removal of certain coherences plus a very specific randomization of the interaction time. These two features allow one to identify as heat the energy transfer due to switching on and off the interaction. Our results prompt the fundamental question of how to distinguish between heat and work from the statistical properties of the exchange of energy between a system and its surroundings.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-02-01
2022
2022-02-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/71461
url https://hdl.handle.net/20.500.14352/71461
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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