Disordered Bose-Einstein condensate in hard walls trap
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1088/1751-8121/ab4687 http://hdl.handle.net/11449/196521 |
Resumo: | We discuss the effects of quenched disorder in a dilute Bose-Einstein condensate confined in a hard walls trap. Starting from the disordered Gross-Pitaevskii functional, we obtain a representation for the quenched free energy as a series of integer moments of the partition function. Positive and negative disorder-dependent effective coupling constants appear in the integer moments. Going beyond the mean-field approximation, we compute the static two-point correlation functions at first-order in the positive effective coupling constants. We obtain the combined contributions of effects due to boundary conditions and disorder in this weakly disordered condensate. The ground state renormalized density profile of the condensate is presented. We also discuss the appearance of metastable and true ground states for strong disorder, when the effective coupling constants become negative. |
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Disordered Bose-Einstein condensate in hard walls trapquantum field theorydisordered systemsfinite size effectsWe discuss the effects of quenched disorder in a dilute Bose-Einstein condensate confined in a hard walls trap. Starting from the disordered Gross-Pitaevskii functional, we obtain a representation for the quenched free energy as a series of integer moments of the partition function. Positive and negative disorder-dependent effective coupling constants appear in the integer moments. Going beyond the mean-field approximation, we compute the static two-point correlation functions at first-order in the positive effective coupling constants. We obtain the combined contributions of effects due to boundary conditions and disorder in this weakly disordered condensate. The ground state renormalized density profile of the condensate is presented. We also discuss the appearance of metastable and true ground states for strong disorder, when the effective coupling constants become negative.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)INCT Fisica Nuclear e AplicacoesFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ)Univ Fed Rio de Janeiro, Inst Fis, BR-21941972 Rio De Janeiro, RJ, BrazilUniv Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, SP, BrazilCtr Brasileiro Pesquisas Fis, Rua Dr Xavier Sigaud 150, BR-22290180 Rio De Janeiro, RJ, BrazilUniv Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, SP, BrazilCNPq: 309982/2018-9CNPq: 305894/2009-9CNPq: 303436/2015-8INCT Fisica Nuclear e Aplicacoes: 464898/2014-5FAPESP: 2013/01907-0FAPERJ: E-26/202.290.2018Iop Publishing LtdUniversidade Federal do Rio de Janeiro (UFRJ)Universidade Estadual Paulista (Unesp)Ctr Brasileiro Pesquisas FisAcosta-Diaz, R.Krein, G. [UNESP]Saldivar, A.Svaiter, N. F.Zarro, C. A. D.2020-12-10T19:47:42Z2020-12-10T19:47:42Z2019-11-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article22http://dx.doi.org/10.1088/1751-8121/ab4687Journal Of Physics A-mathematical And Theoretical. Bristol: Iop Publishing Ltd, v. 52, n. 44, 22 p., 2019.1751-8113http://hdl.handle.net/11449/19652110.1088/1751-8121/ab4687WOS:000509113300001Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal Of Physics A-mathematical And Theoreticalinfo:eu-repo/semantics/openAccess2021-10-23T07:53:12Zoai:repositorio.unesp.br:11449/196521Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:52:20.593333Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Disordered Bose-Einstein condensate in hard walls trap |
title |
Disordered Bose-Einstein condensate in hard walls trap |
spellingShingle |
Disordered Bose-Einstein condensate in hard walls trap Acosta-Diaz, R. quantum field theory disordered systems finite size effects |
title_short |
Disordered Bose-Einstein condensate in hard walls trap |
title_full |
Disordered Bose-Einstein condensate in hard walls trap |
title_fullStr |
Disordered Bose-Einstein condensate in hard walls trap |
title_full_unstemmed |
Disordered Bose-Einstein condensate in hard walls trap |
title_sort |
Disordered Bose-Einstein condensate in hard walls trap |
author |
Acosta-Diaz, R. |
author_facet |
Acosta-Diaz, R. Krein, G. [UNESP] Saldivar, A. Svaiter, N. F. Zarro, C. A. D. |
author_role |
author |
author2 |
Krein, G. [UNESP] Saldivar, A. Svaiter, N. F. Zarro, C. A. D. |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Universidade Federal do Rio de Janeiro (UFRJ) Universidade Estadual Paulista (Unesp) Ctr Brasileiro Pesquisas Fis |
dc.contributor.author.fl_str_mv |
Acosta-Diaz, R. Krein, G. [UNESP] Saldivar, A. Svaiter, N. F. Zarro, C. A. D. |
dc.subject.por.fl_str_mv |
quantum field theory disordered systems finite size effects |
topic |
quantum field theory disordered systems finite size effects |
description |
We discuss the effects of quenched disorder in a dilute Bose-Einstein condensate confined in a hard walls trap. Starting from the disordered Gross-Pitaevskii functional, we obtain a representation for the quenched free energy as a series of integer moments of the partition function. Positive and negative disorder-dependent effective coupling constants appear in the integer moments. Going beyond the mean-field approximation, we compute the static two-point correlation functions at first-order in the positive effective coupling constants. We obtain the combined contributions of effects due to boundary conditions and disorder in this weakly disordered condensate. The ground state renormalized density profile of the condensate is presented. We also discuss the appearance of metastable and true ground states for strong disorder, when the effective coupling constants become negative. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-11-01 2020-12-10T19:47:42Z 2020-12-10T19:47:42Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1088/1751-8121/ab4687 Journal Of Physics A-mathematical And Theoretical. Bristol: Iop Publishing Ltd, v. 52, n. 44, 22 p., 2019. 1751-8113 http://hdl.handle.net/11449/196521 10.1088/1751-8121/ab4687 WOS:000509113300001 |
url |
http://dx.doi.org/10.1088/1751-8121/ab4687 http://hdl.handle.net/11449/196521 |
identifier_str_mv |
Journal Of Physics A-mathematical And Theoretical. Bristol: Iop Publishing Ltd, v. 52, n. 44, 22 p., 2019. 1751-8113 10.1088/1751-8121/ab4687 WOS:000509113300001 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal Of Physics A-mathematical And Theoretical |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
22 |
dc.publisher.none.fl_str_mv |
Iop Publishing Ltd |
publisher.none.fl_str_mv |
Iop Publishing Ltd |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128427966857216 |