Cooling to Absolute Zero: The Unattainability Principle

Autores
Freitas, José Nahuel; Gallego, Rodrigo; Masanes, Lluís; Paz, Juan Pablo
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The unattainability principle (UP) is an operational formulation of the third law of thermodynamics stating the impossibility to bring a system to its ground state in finite time. In this work, several recent derivations of the UP are presented, with a focus on the set of assumptions and allowed sets of operations under which the UP can be formally derived. First, we discuss derivations allowing for arbitrary unitary evolutions as the set of operations. There the aim is to provide fundamental bounds on the minimal achievable temperature, which are applicable with almost full generality. These bounds show that perfect cooling requires an infinite amount of a given resource—worst-case work, heat bath’s size and dimensionality or non-equilibrium states among others—which can in turn be argued to imply that an infinite amount of time is required to access those resources. Secondly, we present derivations within a less general set of operations conceived to capture a broad class of currently available experimental settings. In particular, the UP is here derived within a model of linear and driven quantum refrigerators consisting on a network of harmonic oscillators coupled to several reservoirs at different temperatures.
Fil: Freitas, José Nahuel. Universitat Saarland; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Gallego, Rodrigo. Freie Universität Berlin; Alemania
Fil: Masanes, Lluís. Colegio Universitario de Londres; Reino Unido
Fil: Paz, Juan Pablo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Materia
Thermodynamics
Quantum physics
Third law
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:11336/226685
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Cooling to Absolute Zero: The Unattainability PrincipleFreitas, José NahuelGallego, RodrigoMasanes, LluísPaz, Juan PabloThermodynamicsQuantum physicsThird lawhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The unattainability principle (UP) is an operational formulation of the third law of thermodynamics stating the impossibility to bring a system to its ground state in finite time. In this work, several recent derivations of the UP are presented, with a focus on the set of assumptions and allowed sets of operations under which the UP can be formally derived. First, we discuss derivations allowing for arbitrary unitary evolutions as the set of operations. There the aim is to provide fundamental bounds on the minimal achievable temperature, which are applicable with almost full generality. These bounds show that perfect cooling requires an infinite amount of a given resource—worst-case work, heat bath’s size and dimensionality or non-equilibrium states among others—which can in turn be argued to imply that an infinite amount of time is required to access those resources. Secondly, we present derivations within a less general set of operations conceived to capture a broad class of currently available experimental settings. In particular, the UP is here derived within a model of linear and driven quantum refrigerators consisting on a network of harmonic oscillators coupled to several reservoirs at different temperatures.Fil: Freitas, José Nahuel. Universitat Saarland; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Gallego, Rodrigo. Freie Universität Berlin; AlemaniaFil: Masanes, Lluís. Colegio Universitario de Londres; Reino UnidoFil: Paz, Juan Pablo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaSpringer2019-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/226685Freitas, José Nahuel; Gallego, Rodrigo; Masanes, Lluís; Paz, Juan Pablo; Cooling to Absolute Zero: The Unattainability Principle; Springer; Fundamental Theories of Physics; 195; 4-2019; 597-6220168-12222365-6425CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-319-99046-0_25info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/chapter/10.1007/978-3-319-99046-0_25info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1911.06377info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:58:31Zoai:ri.conicet.gov.ar:11336/226685instacron: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:34982025-09-03 09:58:32.145CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Cooling to Absolute Zero: The Unattainability Principle
title Cooling to Absolute Zero: The Unattainability Principle
spellingShingle Cooling to Absolute Zero: The Unattainability Principle
Freitas, José Nahuel
Thermodynamics
Quantum physics
Third law
title_short Cooling to Absolute Zero: The Unattainability Principle
title_full Cooling to Absolute Zero: The Unattainability Principle
title_fullStr Cooling to Absolute Zero: The Unattainability Principle
title_full_unstemmed Cooling to Absolute Zero: The Unattainability Principle
title_sort Cooling to Absolute Zero: The Unattainability Principle
dc.creator.none.fl_str_mv Freitas, José Nahuel
Gallego, Rodrigo
Masanes, Lluís
Paz, Juan Pablo
author Freitas, José Nahuel
author_facet Freitas, José Nahuel
Gallego, Rodrigo
Masanes, Lluís
Paz, Juan Pablo
author_role author
author2 Gallego, Rodrigo
Masanes, Lluís
Paz, Juan Pablo
author2_role author
author
author
dc.subject.none.fl_str_mv Thermodynamics
Quantum physics
Third law
topic Thermodynamics
Quantum physics
Third law
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 unattainability principle (UP) is an operational formulation of the third law of thermodynamics stating the impossibility to bring a system to its ground state in finite time. In this work, several recent derivations of the UP are presented, with a focus on the set of assumptions and allowed sets of operations under which the UP can be formally derived. First, we discuss derivations allowing for arbitrary unitary evolutions as the set of operations. There the aim is to provide fundamental bounds on the minimal achievable temperature, which are applicable with almost full generality. These bounds show that perfect cooling requires an infinite amount of a given resource—worst-case work, heat bath’s size and dimensionality or non-equilibrium states among others—which can in turn be argued to imply that an infinite amount of time is required to access those resources. Secondly, we present derivations within a less general set of operations conceived to capture a broad class of currently available experimental settings. In particular, the UP is here derived within a model of linear and driven quantum refrigerators consisting on a network of harmonic oscillators coupled to several reservoirs at different temperatures.
Fil: Freitas, José Nahuel. Universitat Saarland; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Gallego, Rodrigo. Freie Universität Berlin; Alemania
Fil: Masanes, Lluís. Colegio Universitario de Londres; Reino Unido
Fil: Paz, Juan Pablo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
description The unattainability principle (UP) is an operational formulation of the third law of thermodynamics stating the impossibility to bring a system to its ground state in finite time. In this work, several recent derivations of the UP are presented, with a focus on the set of assumptions and allowed sets of operations under which the UP can be formally derived. First, we discuss derivations allowing for arbitrary unitary evolutions as the set of operations. There the aim is to provide fundamental bounds on the minimal achievable temperature, which are applicable with almost full generality. These bounds show that perfect cooling requires an infinite amount of a given resource—worst-case work, heat bath’s size and dimensionality or non-equilibrium states among others—which can in turn be argued to imply that an infinite amount of time is required to access those resources. Secondly, we present derivations within a less general set of operations conceived to capture a broad class of currently available experimental settings. In particular, the UP is here derived within a model of linear and driven quantum refrigerators consisting on a network of harmonic oscillators coupled to several reservoirs at different temperatures.
publishDate 2019
dc.date.none.fl_str_mv 2019-04
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/11336/226685
Freitas, José Nahuel; Gallego, Rodrigo; Masanes, Lluís; Paz, Juan Pablo; Cooling to Absolute Zero: The Unattainability Principle; Springer; Fundamental Theories of Physics; 195; 4-2019; 597-622
0168-1222
2365-6425
CONICET Digital
CONICET
url http://hdl.handle.net/11336/226685
identifier_str_mv Freitas, José Nahuel; Gallego, Rodrigo; Masanes, Lluís; Paz, Juan Pablo; Cooling to Absolute Zero: The Unattainability Principle; Springer; Fundamental Theories of Physics; 195; 4-2019; 597-622
0168-1222
2365-6425
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-319-99046-0_25
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/chapter/10.1007/978-3-319-99046-0_25
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1911.06377
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 Springer
publisher.none.fl_str_mv Springer
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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