Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates

Detalhes bibliográficos
Autor(a) principal: Cestari, Jardel Caminha Carvalho
Data de Publicação: 2010
Outros Autores: Foerster, Angela, Gusmao, Miguel Angelo Cavalheiro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/104321
Resumo: We investigate the disorder-induced localization transition in Bose-Einstein condensates for the Anderson and Aubry-Andr´e models in the noninteracting limit using exact diagonalization. We show that, in addition to the standard superfluid fraction, other tools such as the entanglement and fidelity can provide clear signatures of the transition. Interestingly, the fidelity exhibits good sensitivity even for small lattices. Effects of the system size on these quantities are analyzed in detail, including the determination of a finite-size-scaling law for the critical disorder strength in the case of the Anderson model.
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spelling Cestari, Jardel Caminha CarvalhoFoerster, AngelaGusmao, Miguel Angelo Cavalheiro2014-10-09T02:13:20Z20101050-2947http://hdl.handle.net/10183/104321000772946We investigate the disorder-induced localization transition in Bose-Einstein condensates for the Anderson and Aubry-Andr´e models in the noninteracting limit using exact diagonalization. We show that, in addition to the standard superfluid fraction, other tools such as the entanglement and fidelity can provide clear signatures of the transition. Interestingly, the fidelity exhibits good sensitivity even for small lattices. Effects of the system size on these quantities are analyzed in detail, including the determination of a finite-size-scaling law for the critical disorder strength in the case of the Anderson model.application/pdfengPhysical review. A, Atomic, molecular, and optical physics. New York. Vol. 82, no. 6 (Dec. 2010), 063634, 6 p.SuperfluidezModelo de AndersonFinite-size effects in Anderson localization of one-dimensional Bose-Einstein condensatesEstrangeiroinfo: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:UFRGSORIGINAL000772946.pdf000772946.pdfTexto completo (inglês)application/pdf382813http://www.lume.ufrgs.br/bitstream/10183/104321/1/000772946.pdf43f16c2067642f91d8b08224b0c64b84MD51TEXT000772946.pdf.txt000772946.pdf.txtExtracted Texttext/plain26814http://www.lume.ufrgs.br/bitstream/10183/104321/2/000772946.pdf.txtf5d8f61ae4c264913c0780b90b907707MD52THUMBNAIL000772946.pdf.jpg000772946.pdf.jpgGenerated Thumbnailimage/jpeg2148http://www.lume.ufrgs.br/bitstream/10183/104321/3/000772946.pdf.jpge99336fb23380fee78a97f647d882e3eMD5310183/1043212023-06-24 03:38:06.666983oai:www.lume.ufrgs.br:10183/104321Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-06-24T06:38:06Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates
title Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates
spellingShingle Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates
Cestari, Jardel Caminha Carvalho
Superfluidez
Modelo de Anderson
title_short Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates
title_full Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates
title_fullStr Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates
title_full_unstemmed Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates
title_sort Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates
author Cestari, Jardel Caminha Carvalho
author_facet Cestari, Jardel Caminha Carvalho
Foerster, Angela
Gusmao, Miguel Angelo Cavalheiro
author_role author
author2 Foerster, Angela
Gusmao, Miguel Angelo Cavalheiro
author2_role author
author
dc.contributor.author.fl_str_mv Cestari, Jardel Caminha Carvalho
Foerster, Angela
Gusmao, Miguel Angelo Cavalheiro
dc.subject.por.fl_str_mv Superfluidez
Modelo de Anderson
topic Superfluidez
Modelo de Anderson
description We investigate the disorder-induced localization transition in Bose-Einstein condensates for the Anderson and Aubry-Andr´e models in the noninteracting limit using exact diagonalization. We show that, in addition to the standard superfluid fraction, other tools such as the entanglement and fidelity can provide clear signatures of the transition. Interestingly, the fidelity exhibits good sensitivity even for small lattices. Effects of the system size on these quantities are analyzed in detail, including the determination of a finite-size-scaling law for the critical disorder strength in the case of the Anderson model.
publishDate 2010
dc.date.issued.fl_str_mv 2010
dc.date.accessioned.fl_str_mv 2014-10-09T02:13:20Z
dc.type.driver.fl_str_mv Estrangeiro
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/104321
dc.identifier.issn.pt_BR.fl_str_mv 1050-2947
dc.identifier.nrb.pt_BR.fl_str_mv 000772946
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dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Physical review. A, Atomic, molecular, and optical physics. New York. Vol. 82, no. 6 (Dec. 2010), 063634, 6 p.
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eu_rights_str_mv openAccess
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