Bethe states for the two-site Bose–Hubbard model : a binomial approach

Detalhes bibliográficos
Autor(a) principal: Santos Filho, Gilberto Nascimento
Data de Publicação: 2015
Outros Autores: Ahn, Changrim, Foerster, Angela, Roditi, Itzhak
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/142473
Resumo: We calculate explicitly the Bethe vectors states by the algebraic Bethe ansatz method with the gl(2)-invariant R-matrix for the two-site Bose–Hubbard model. Using a binomial expansion of the n-th power of a sum of two operators we get and solve a recursion equation. We calculate the scalar product and the norm of the Bethe vectors states. The form factors of the imbalance current operator are also computed.
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spelling Santos Filho, Gilberto NascimentoAhn, ChangrimFoerster, AngelaRoditi, Itzhak2016-06-10T02:09:23Z20150370-2693http://hdl.handle.net/10183/142473000987185We calculate explicitly the Bethe vectors states by the algebraic Bethe ansatz method with the gl(2)-invariant R-matrix for the two-site Bose–Hubbard model. Using a binomial expansion of the n-th power of a sum of two operators we get and solve a recursion equation. We calculate the scalar product and the norm of the Bethe vectors states. The form factors of the imbalance current operator are also computed.application/pdfengPhysics letters. B. Vol. 746 (June 2015), p. 186-189Condensação Bose-EinsteinBethe ansatzBethe vectorsForm factorsBose–Einstein condensationBethe states for the two-site Bose–Hubbard model : a binomial approachEstrangeiroinfo: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:UFRGSORIGINAL000987185.pdf000987185.pdfTexto completo (inglês)application/pdf207357http://www.lume.ufrgs.br/bitstream/10183/142473/1/000987185.pdf8a1a2e1344ce3f3289317fe151e7a1c0MD51TEXT000987185.pdf.txt000987185.pdf.txtExtracted Texttext/plain19800http://www.lume.ufrgs.br/bitstream/10183/142473/2/000987185.pdf.txted3b54c3edd4c442ff967fb7c41545ffMD52THUMBNAIL000987185.pdf.jpg000987185.pdf.jpgGenerated Thumbnailimage/jpeg1880http://www.lume.ufrgs.br/bitstream/10183/142473/3/000987185.pdf.jpg2f37da2760309c44345b522af0b0cecaMD5310183/1424732023-06-24 03:38:53.98474oai:www.lume.ufrgs.br:10183/142473Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-06-24T06:38:53Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Bethe states for the two-site Bose–Hubbard model : a binomial approach
title Bethe states for the two-site Bose–Hubbard model : a binomial approach
spellingShingle Bethe states for the two-site Bose–Hubbard model : a binomial approach
Santos Filho, Gilberto Nascimento
Condensação Bose-Einstein
Bethe ansatz
Bethe vectors
Form factors
Bose–Einstein condensation
title_short Bethe states for the two-site Bose–Hubbard model : a binomial approach
title_full Bethe states for the two-site Bose–Hubbard model : a binomial approach
title_fullStr Bethe states for the two-site Bose–Hubbard model : a binomial approach
title_full_unstemmed Bethe states for the two-site Bose–Hubbard model : a binomial approach
title_sort Bethe states for the two-site Bose–Hubbard model : a binomial approach
author Santos Filho, Gilberto Nascimento
author_facet Santos Filho, Gilberto Nascimento
Ahn, Changrim
Foerster, Angela
Roditi, Itzhak
author_role author
author2 Ahn, Changrim
Foerster, Angela
Roditi, Itzhak
author2_role author
author
author
dc.contributor.author.fl_str_mv Santos Filho, Gilberto Nascimento
Ahn, Changrim
Foerster, Angela
Roditi, Itzhak
dc.subject.por.fl_str_mv Condensação Bose-Einstein
topic Condensação Bose-Einstein
Bethe ansatz
Bethe vectors
Form factors
Bose–Einstein condensation
dc.subject.eng.fl_str_mv Bethe ansatz
Bethe vectors
Form factors
Bose–Einstein condensation
description We calculate explicitly the Bethe vectors states by the algebraic Bethe ansatz method with the gl(2)-invariant R-matrix for the two-site Bose–Hubbard model. Using a binomial expansion of the n-th power of a sum of two operators we get and solve a recursion equation. We calculate the scalar product and the norm of the Bethe vectors states. The form factors of the imbalance current operator are also computed.
publishDate 2015
dc.date.issued.fl_str_mv 2015
dc.date.accessioned.fl_str_mv 2016-06-10T02:09:23Z
dc.type.driver.fl_str_mv Estrangeiro
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/142473
dc.identifier.issn.pt_BR.fl_str_mv 0370-2693
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dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Physics letters. B. Vol. 746 (June 2015), p. 186-189
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