The Lipkin-Meshkov-Glick model as a particular limit of the SU(1, 1) Richardson-Gaudin integrable models

23 pags., 9 figs., 2 tabs.

Detalles Bibliográficos
Autores: Lerma H., Sergio, Dukelsky, Jorge
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/246585
Acceso en línea:http://hdl.handle.net/10261/246585
Access Level:acceso abierto
Palabra clave:Richardson–Gaudin models
Lipkin–Meshkov–Glick model
Quantum phase transitions
Integrable models
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spelling The Lipkin-Meshkov-Glick model as a particular limit of the SU(1, 1) Richardson-Gaudin integrable modelsLerma H., SergioDukelsky, JorgeRichardson–Gaudin modelsLipkin–Meshkov–Glick modelQuantum phase transitionsIntegrable models23 pags., 9 figs., 2 tabs.The Lipkin-Meshkov-Glick (LMG) model has a Schwinger boson realization in terms of a two-level boson pairing Hamiltonian. Through this realization, it has been shown that the LMG model is a particular case of the SU(1, 1) Richardson-Gaudin (RG) integrable models. We exploit the exact solvability of the model to study the behavior of the spectral parameters (pairons) that completely determine the wave function in the different phases, and across the phase transitions. Based on the relation between the Richardson equations and the Lamé ordinary differential equation we develop a method to obtain numerically the pairons. The dynamics of pairons in the ground and excited states provide new insights into the first, second and third order phase transitions, as well as into the crossings taking place in the LMG spectrum. © 2013 Elsevier B.V.D. acknowledges support from the Spanish Ministry of Economy and Competitiveness under grants FIS2009-07277 and FIS2012-34479.Elsevier BVMinisterio de Economía y Competitividad (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]2021202120132021info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/246585reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2009-07277info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2012-34479.http://dx.doi.org/10.1016/j.nuclphysb.2013.01.019Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2465852026-05-22T06:33:51Z
dc.title.none.fl_str_mv The Lipkin-Meshkov-Glick model as a particular limit of the SU(1, 1) Richardson-Gaudin integrable models
title The Lipkin-Meshkov-Glick model as a particular limit of the SU(1, 1) Richardson-Gaudin integrable models
spellingShingle The Lipkin-Meshkov-Glick model as a particular limit of the SU(1, 1) Richardson-Gaudin integrable models
Lerma H., Sergio
Richardson–Gaudin models
Lipkin–Meshkov–Glick model
Quantum phase transitions
Integrable models
title_short The Lipkin-Meshkov-Glick model as a particular limit of the SU(1, 1) Richardson-Gaudin integrable models
title_full The Lipkin-Meshkov-Glick model as a particular limit of the SU(1, 1) Richardson-Gaudin integrable models
title_fullStr The Lipkin-Meshkov-Glick model as a particular limit of the SU(1, 1) Richardson-Gaudin integrable models
title_full_unstemmed The Lipkin-Meshkov-Glick model as a particular limit of the SU(1, 1) Richardson-Gaudin integrable models
title_sort The Lipkin-Meshkov-Glick model as a particular limit of the SU(1, 1) Richardson-Gaudin integrable models
dc.creator.none.fl_str_mv Lerma H., Sergio
Dukelsky, Jorge
author Lerma H., Sergio
author_facet Lerma H., Sergio
Dukelsky, Jorge
author_role author
author2 Dukelsky, Jorge
author2_role author
dc.contributor.none.fl_str_mv Ministerio de Economía y Competitividad (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Richardson–Gaudin models
Lipkin–Meshkov–Glick model
Quantum phase transitions
Integrable models
topic Richardson–Gaudin models
Lipkin–Meshkov–Glick model
Quantum phase transitions
Integrable models
description 23 pags., 9 figs., 2 tabs.
publishDate 2013
dc.date.none.fl_str_mv 2013
2021
2021
2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/246585
url http://hdl.handle.net/10261/246585
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2009-07277
info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2012-34479.
http://dx.doi.org/10.1016/j.nuclphysb.2013.01.019
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier BV
publisher.none.fl_str_mv Elsevier BV
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
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