Bethe states for the two-site Bose–Hubbard model : a binomial approach
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , |
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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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 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/10183/142473 |
dc.identifier.issn.pt_BR.fl_str_mv |
0370-2693 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000987185 |
identifier_str_mv |
0370-2693 000987185 |
url |
http://hdl.handle.net/10183/142473 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Physics letters. B. Vol. 746 (June 2015), p. 186-189 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
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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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