Quantum phase transitions in Bose–Einstein condensates from a Bethe ansatz perspective
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/206310 |
Resumo: | We investigate two solvable models for Bose–Einstein condensates and extract physical information by studying the structure of the solutions of their Bethe ansatz equations. A careful observation of these solutions for the ground state of both models, as we vary some parameters of the Hamiltonian, suggests a connection between the behavior of the roots of the Bethe ansatz equations and the physical behavior of the models. Then, by the use of standard techniques for approaching quantum phase transition – gap, entanglement and fidelity – we find that the change in the scenery in the roots of the Bethe ansatz equations is directly related to a quantum phase transition, thus providing an alternative method for its detection. |
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Lima, Diefferson Rubeni da Rosa deFoerster, AngelaMattei, Eduardo CeruttiRoditi, Itzhak2020-02-28T04:05:57Z20120550-3213http://hdl.handle.net/10183/206310000836098We investigate two solvable models for Bose–Einstein condensates and extract physical information by studying the structure of the solutions of their Bethe ansatz equations. A careful observation of these solutions for the ground state of both models, as we vary some parameters of the Hamiltonian, suggests a connection between the behavior of the roots of the Bethe ansatz equations and the physical behavior of the models. Then, by the use of standard techniques for approaching quantum phase transition – gap, entanglement and fidelity – we find that the change in the scenery in the roots of the Bethe ansatz equations is directly related to a quantum phase transition, thus providing an alternative method for its detection.application/pdfengNuclear physics. B. Amsterdam. Vol. 856, no. 3 (Mar. 2012), p. 698-715Fisica de particulas elementares e camposCondensação Bose-EinsteinEquacao de bethe ansatzTransformações de faseQuantum phase transitionsBose–Einstein condensationIntegrable modelsBethe ansatzQuantum phase transitions in Bose–Einstein condensates from a Bethe ansatz perspectiveEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSTEXT000836098.pdf.txt000836098.pdf.txtExtracted Texttext/plain39544http://www.lume.ufrgs.br/bitstream/10183/206310/2/000836098.pdf.txtd6a62f3fbab9c8a3211f248fcf1de862MD52ORIGINAL000836098.pdfTexto completo (inglês)application/pdf804609http://www.lume.ufrgs.br/bitstream/10183/206310/1/000836098.pdfbf99705b0984075980ed99dd2610ef77MD5110183/2063102023-06-24 03:37:38.552072oai:www.lume.ufrgs.br:10183/206310Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-06-24T06:37:38Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Quantum phase transitions in Bose–Einstein condensates from a Bethe ansatz perspective |
title |
Quantum phase transitions in Bose–Einstein condensates from a Bethe ansatz perspective |
spellingShingle |
Quantum phase transitions in Bose–Einstein condensates from a Bethe ansatz perspective Lima, Diefferson Rubeni da Rosa de Fisica de particulas elementares e campos Condensação Bose-Einstein Equacao de bethe ansatz Transformações de fase Quantum phase transitions Bose–Einstein condensation Integrable models Bethe ansatz |
title_short |
Quantum phase transitions in Bose–Einstein condensates from a Bethe ansatz perspective |
title_full |
Quantum phase transitions in Bose–Einstein condensates from a Bethe ansatz perspective |
title_fullStr |
Quantum phase transitions in Bose–Einstein condensates from a Bethe ansatz perspective |
title_full_unstemmed |
Quantum phase transitions in Bose–Einstein condensates from a Bethe ansatz perspective |
title_sort |
Quantum phase transitions in Bose–Einstein condensates from a Bethe ansatz perspective |
author |
Lima, Diefferson Rubeni da Rosa de |
author_facet |
Lima, Diefferson Rubeni da Rosa de Foerster, Angela Mattei, Eduardo Cerutti Roditi, Itzhak |
author_role |
author |
author2 |
Foerster, Angela Mattei, Eduardo Cerutti Roditi, Itzhak |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Lima, Diefferson Rubeni da Rosa de Foerster, Angela Mattei, Eduardo Cerutti Roditi, Itzhak |
dc.subject.por.fl_str_mv |
Fisica de particulas elementares e campos Condensação Bose-Einstein Equacao de bethe ansatz Transformações de fase |
topic |
Fisica de particulas elementares e campos Condensação Bose-Einstein Equacao de bethe ansatz Transformações de fase Quantum phase transitions Bose–Einstein condensation Integrable models Bethe ansatz |
dc.subject.eng.fl_str_mv |
Quantum phase transitions Bose–Einstein condensation Integrable models Bethe ansatz |
description |
We investigate two solvable models for Bose–Einstein condensates and extract physical information by studying the structure of the solutions of their Bethe ansatz equations. A careful observation of these solutions for the ground state of both models, as we vary some parameters of the Hamiltonian, suggests a connection between the behavior of the roots of the Bethe ansatz equations and the physical behavior of the models. Then, by the use of standard techniques for approaching quantum phase transition – gap, entanglement and fidelity – we find that the change in the scenery in the roots of the Bethe ansatz equations is directly related to a quantum phase transition, thus providing an alternative method for its detection. |
publishDate |
2012 |
dc.date.issued.fl_str_mv |
2012 |
dc.date.accessioned.fl_str_mv |
2020-02-28T04:05:57Z |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10183/206310 |
dc.identifier.issn.pt_BR.fl_str_mv |
0550-3213 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000836098 |
identifier_str_mv |
0550-3213 000836098 |
url |
http://hdl.handle.net/10183/206310 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Nuclear physics. B. Amsterdam. Vol. 856, no. 3 (Mar. 2012), p. 698-715 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFRGS instname:Universidade Federal do Rio Grande do Sul (UFRGS) instacron:UFRGS |
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UFRGS |
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Repositório Institucional da UFRGS |
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Repositório Institucional da UFRGS |
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