Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit System

Autores
Terren Alonso, Pablo Gaston; Abiuso, Paolo; Perarnau Llobet, Martí; Arrachea, Liliana del Carmen
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We adopt a geometric approach to describe the performance of adiabatic quantum machines, operating under slow time-dependent driving and in contact with two reservoirs with a temperature bias during all the cycle. We show that the problem of optimizing the power generation of a heat engine and the efficiency of both the heat engine and refrigerator operational modes is reduced to an isoperimetric problem with nontrivial underlying metrics and curvature. This corresponds to the maximization of the ratio between the area enclosed by a closed curve and its corresponding length. We illustrate this procedure in a qubit coupled to two reservoirs operating as a thermal machine by means of an adiabatic protocol.
Fil: Terren Alonso, Pablo Gaston. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Instituto de Ciencias Fisicas. - Universidad Nacional de San Martin. Instituto de Ciencias Fisicas.; Argentina
Fil: Abiuso, Paolo. Universite Ifm Geneve (ifm); Suiza
Fil: Perarnau Llobet, Martí. Universite Ifm Geneve (ifm); Suiza
Fil: Arrachea, Liliana del Carmen. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Instituto de Ciencias Fisicas. - Universidad Nacional de San Martin. Instituto de Ciencias Fisicas.; Argentina
Materia
Geometric
Nonequilibrium
Qubit
Optimization
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/241686
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit SystemTerren Alonso, Pablo GastonAbiuso, PaoloPerarnau Llobet, MartíArrachea, Liliana del CarmenGeometricNonequilibriumQubitOptimizationhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We adopt a geometric approach to describe the performance of adiabatic quantum machines, operating under slow time-dependent driving and in contact with two reservoirs with a temperature bias during all the cycle. We show that the problem of optimizing the power generation of a heat engine and the efficiency of both the heat engine and refrigerator operational modes is reduced to an isoperimetric problem with nontrivial underlying metrics and curvature. This corresponds to the maximization of the ratio between the area enclosed by a closed curve and its corresponding length. We illustrate this procedure in a qubit coupled to two reservoirs operating as a thermal machine by means of an adiabatic protocol.Fil: Terren Alonso, Pablo Gaston. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Instituto de Ciencias Fisicas. - Universidad Nacional de San Martin. Instituto de Ciencias Fisicas.; ArgentinaFil: Abiuso, Paolo. Universite Ifm Geneve (ifm); SuizaFil: Perarnau Llobet, Martí. Universite Ifm Geneve (ifm); SuizaFil: Arrachea, Liliana del Carmen. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Instituto de Ciencias Fisicas. - Universidad Nacional de San Martin. Instituto de Ciencias Fisicas.; ArgentinaAmerican Physical Society2022-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/241686Terren Alonso, Pablo Gaston; Abiuso, Paolo; Perarnau Llobet, Martí; Arrachea, Liliana del Carmen; Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit System; American Physical Society; PRX Quantum; 3; 1; 2-2022; 1-172691-3399CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PRXQuantum.3.010326info:eu-repo/semantics/altIdentifier/doi/10.1103/PRXQuantum.3.010326info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:36:23Zoai:ri.conicet.gov.ar:11336/241686instacron: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 10:36:24.013CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit System
title Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit System
spellingShingle Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit System
Terren Alonso, Pablo Gaston
Geometric
Nonequilibrium
Qubit
Optimization
title_short Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit System
title_full Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit System
title_fullStr Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit System
title_full_unstemmed Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit System
title_sort Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit System
dc.creator.none.fl_str_mv Terren Alonso, Pablo Gaston
Abiuso, Paolo
Perarnau Llobet, Martí
Arrachea, Liliana del Carmen
author Terren Alonso, Pablo Gaston
author_facet Terren Alonso, Pablo Gaston
Abiuso, Paolo
Perarnau Llobet, Martí
Arrachea, Liliana del Carmen
author_role author
author2 Abiuso, Paolo
Perarnau Llobet, Martí
Arrachea, Liliana del Carmen
author2_role author
author
author
dc.subject.none.fl_str_mv Geometric
Nonequilibrium
Qubit
Optimization
topic Geometric
Nonequilibrium
Qubit
Optimization
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 adopt a geometric approach to describe the performance of adiabatic quantum machines, operating under slow time-dependent driving and in contact with two reservoirs with a temperature bias during all the cycle. We show that the problem of optimizing the power generation of a heat engine and the efficiency of both the heat engine and refrigerator operational modes is reduced to an isoperimetric problem with nontrivial underlying metrics and curvature. This corresponds to the maximization of the ratio between the area enclosed by a closed curve and its corresponding length. We illustrate this procedure in a qubit coupled to two reservoirs operating as a thermal machine by means of an adiabatic protocol.
Fil: Terren Alonso, Pablo Gaston. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Instituto de Ciencias Fisicas. - Universidad Nacional de San Martin. Instituto de Ciencias Fisicas.; Argentina
Fil: Abiuso, Paolo. Universite Ifm Geneve (ifm); Suiza
Fil: Perarnau Llobet, Martí. Universite Ifm Geneve (ifm); Suiza
Fil: Arrachea, Liliana del Carmen. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Instituto de Ciencias Fisicas. - Universidad Nacional de San Martin. Instituto de Ciencias Fisicas.; Argentina
description We adopt a geometric approach to describe the performance of adiabatic quantum machines, operating under slow time-dependent driving and in contact with two reservoirs with a temperature bias during all the cycle. We show that the problem of optimizing the power generation of a heat engine and the efficiency of both the heat engine and refrigerator operational modes is reduced to an isoperimetric problem with nontrivial underlying metrics and curvature. This corresponds to the maximization of the ratio between the area enclosed by a closed curve and its corresponding length. We illustrate this procedure in a qubit coupled to two reservoirs operating as a thermal machine by means of an adiabatic protocol.
publishDate 2022
dc.date.none.fl_str_mv 2022-02
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/11336/241686
Terren Alonso, Pablo Gaston; Abiuso, Paolo; Perarnau Llobet, Martí; Arrachea, Liliana del Carmen; Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit System; American Physical Society; PRX Quantum; 3; 1; 2-2022; 1-17
2691-3399
CONICET Digital
CONICET
url http://hdl.handle.net/11336/241686
identifier_str_mv Terren Alonso, Pablo Gaston; Abiuso, Paolo; Perarnau Llobet, Martí; Arrachea, Liliana del Carmen; Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit System; American Physical Society; PRX Quantum; 3; 1; 2-2022; 1-17
2691-3399
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PRXQuantum.3.010326
info:eu-repo/semantics/altIdentifier/doi/10.1103/PRXQuantum.3.010326
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
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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