Geometric phases and the Rabi Hamiltonian

Descripción del Articulo

This work was partially financed by DGI-PUCP (Grant No. 2015-224). J.C. received financial support from CONCYTEC/FONDECYT (Peru).
Detalles Bibliográficos
Autores: Calderon, J, De Zela, F
Formato: artículo
Fecha de Publicación:2016
Institución:Consejo Nacional de Ciencia Tecnología e Innovación
Repositorio:CONCYTEC-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.concytec.gob.pe:20.500.12390/1212
Enlace del recurso:https://hdl.handle.net/20.500.12390/1212
https://doi.org/10.1103/PhysRevA.93.033823
Nivel de acceso:acceso abierto
Materia:RWA applies
Jaynes-Cummings model
Rabi model
https://purl.org/pe-repo/ocde/ford#1.03.00
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network_acronym_str CONC
network_name_str CONCYTEC-Institucional
repository_id_str 4689
dc.title.none.fl_str_mv Geometric phases and the Rabi Hamiltonian
title Geometric phases and the Rabi Hamiltonian
spellingShingle Geometric phases and the Rabi Hamiltonian
Calderon, J
RWA applies
Jaynes-Cummings model
Rabi model
https://purl.org/pe-repo/ocde/ford#1.03.00
title_short Geometric phases and the Rabi Hamiltonian
title_full Geometric phases and the Rabi Hamiltonian
title_fullStr Geometric phases and the Rabi Hamiltonian
title_full_unstemmed Geometric phases and the Rabi Hamiltonian
title_sort Geometric phases and the Rabi Hamiltonian
author Calderon, J
author_facet Calderon, J
De Zela, F
author_role author
author2 De Zela, F
author2_role author
dc.contributor.author.fl_str_mv Calderon, J
De Zela, F
dc.subject.none.fl_str_mv RWA applies
topic RWA applies
Jaynes-Cummings model
Rabi model
https://purl.org/pe-repo/ocde/ford#1.03.00
dc.subject.es_PE.fl_str_mv Jaynes-Cummings model
Rabi model
dc.subject.ocde.none.fl_str_mv https://purl.org/pe-repo/ocde/ford#1.03.00
description This work was partially financed by DGI-PUCP (Grant No. 2015-224). J.C. received financial support from CONCYTEC/FONDECYT (Peru).
publishDate 2016
dc.date.accessioned.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.available.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.issued.fl_str_mv 2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12390/1212
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1103/PhysRevA.93.033823
dc.identifier.isi.none.fl_str_mv 371726700010
url https://hdl.handle.net/20.500.12390/1212
https://doi.org/10.1103/PhysRevA.93.033823
identifier_str_mv 371726700010
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Physical Review A
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONCYTEC-Institucional
instname:Consejo Nacional de Ciencia Tecnología e Innovación
instacron:CONCYTEC
instname_str Consejo Nacional de Ciencia Tecnología e Innovación
instacron_str CONCYTEC
institution CONCYTEC
reponame_str CONCYTEC-Institucional
collection CONCYTEC-Institucional
repository.name.fl_str_mv Repositorio Institucional CONCYTEC
repository.mail.fl_str_mv repositorio@concytec.gob.pe
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spelling Publicationrp03472600rp00711500Calderon, JDe Zela, F2024-05-30T23:13:38Z2024-05-30T23:13:38Z2016https://hdl.handle.net/20.500.12390/1212https://doi.org/10.1103/PhysRevA.93.033823371726700010This work was partially financed by DGI-PUCP (Grant No. 2015-224). J.C. received financial support from CONCYTEC/FONDECYT (Peru).We address Berry phases that have been predicted to appear when a two-level system interacts with a quantized field, including the vacuum state. The issue became controversial after it was argued that the appearance of such Berry phases is an artifact of the rotating-wave approximation (RWA). As is widely believed, whenever the RWA applies, one may replace the Rabi model of a two-level system interacting with a quantized field by the analytically solvable Jaynes-Cummings model. Conflicting predictions of these two models under conditions that validate the RWA would signal a serious inconsistency of this approximation. We show that this is not the case and that claims to the contrary are inconsistent with analytical results concerning the Rabi model. We provide also numerical evidence supporting our analytical approach. Furthermore, we argue that the appearance of Berry phases in the addressed cases does not depend on adiabatic conditions nor on any particular Hamiltonian, but on the underlying vector space. Thus, the appropriate framework is given by the kinematic approach to geometric phases, which contains Berry's phase as a special case.Fondo Nacional de Desarrollo Científico y Tecnológico - FondecytengAmerican Physical SocietyPhysical Review Ainfo:eu-repo/semantics/openAccessRWA appliesJaynes-Cummings model-1Rabi model-1https://purl.org/pe-repo/ocde/ford#1.03.00-1Geometric phases and the Rabi Hamiltonianinfo:eu-repo/semantics/articlereponame:CONCYTEC-Institucionalinstname:Consejo Nacional de Ciencia Tecnología e Innovacióninstacron:CONCYTEC#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#20.500.12390/1212oai:repositorio.concytec.gob.pe:20.500.12390/12122024-05-30 15:36:38.149http://purl.org/coar/access_right/c_14cbinfo:eu-repo/semantics/closedAccessmetadata only accesshttps://repositorio.concytec.gob.peRepositorio Institucional CONCYTECrepositorio@concytec.gob.pe#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="e56c6bb9-1699-4f80-b198-2b414544a8f5"> <Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type> <Language>eng</Language> <Title>Geometric phases and the Rabi Hamiltonian</Title> <PublishedIn> <Publication> <Title>Physical Review A</Title> </Publication> </PublishedIn> <PublicationDate>2016</PublicationDate> <DOI>https://doi.org/10.1103/PhysRevA.93.033823</DOI> <ISI-Number>371726700010</ISI-Number> <Authors> <Author> <DisplayName>Calderon, J</DisplayName> <Person id="rp03472" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>De Zela, F</DisplayName> <Person id="rp00711" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> </Authors> <Editors> </Editors> <Publishers> <Publisher> <DisplayName>American Physical Society</DisplayName> <OrgUnit /> </Publisher> </Publishers> <Keyword>RWA applies</Keyword> <Keyword>Jaynes-Cummings model</Keyword> <Keyword>Rabi model</Keyword> <Abstract>We address Berry phases that have been predicted to appear when a two-level system interacts with a quantized field, including the vacuum state. The issue became controversial after it was argued that the appearance of such Berry phases is an artifact of the rotating-wave approximation (RWA). As is widely believed, whenever the RWA applies, one may replace the Rabi model of a two-level system interacting with a quantized field by the analytically solvable Jaynes-Cummings model. Conflicting predictions of these two models under conditions that validate the RWA would signal a serious inconsistency of this approximation. We show that this is not the case and that claims to the contrary are inconsistent with analytical results concerning the Rabi model. We provide also numerical evidence supporting our analytical approach. Furthermore, we argue that the appearance of Berry phases in the addressed cases does not depend on adiabatic conditions nor on any particular Hamiltonian, but on the underlying vector space. Thus, the appropriate framework is given by the kinematic approach to geometric phases, which contains Berry&apos;s phase as a special case.</Abstract> <Access xmlns="http://purl.org/coar/access_right" > </Access> </Publication> -1
score 13.274781
Geometric phases and the Rabi Hamiltonian
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