Two-site Bose-Hubbard model with nonlinear tunneling : classical and quantum analysis
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/169617 |
Resumo: | The extended Bose-Hubbard model for a double-well potential with atom-pair tunneling is studied. Starting with a classical analysis we determine the existence of three quantum phases: self-trapping, phase-locking, and Josephson states. From this analysis we build the parameter space of quantum phase transitions between degenerate and nondegenerate ground states driven by the atom-pair tunneling. Considering only the repulsive case, we confirm the phase transition by the measure of the energy gap between the ground state and the first excited state. We study the structure of the solutions of the Bethe ansatz equations for a small number of atoms. An inspection of the roots for the ground state suggests a relationship to the physical properties of the system. By studying the energy gap we find that the profile of the roots of the Bethe ansatz equations is related to a quantum phase transition. |
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Lima, Diefferson Rubeni da Rosa deLinks, JonIsaac, Phillip S.Foerster, Angela2017-10-20T02:26:59Z20171050-2947http://hdl.handle.net/10183/169617001044431The extended Bose-Hubbard model for a double-well potential with atom-pair tunneling is studied. Starting with a classical analysis we determine the existence of three quantum phases: self-trapping, phase-locking, and Josephson states. From this analysis we build the parameter space of quantum phase transitions between degenerate and nondegenerate ground states driven by the atom-pair tunneling. Considering only the repulsive case, we confirm the phase transition by the measure of the energy gap between the ground state and the first excited state. We study the structure of the solutions of the Bethe ansatz equations for a small number of atoms. An inspection of the roots for the ground state suggests a relationship to the physical properties of the system. By studying the energy gap we find that the profile of the roots of the Bethe ansatz equations is related to a quantum phase transition.application/pdfengPhysical review. A, Atomic, molecular, and optical physics. New York. Vol. 95, no. 4 (Apr. 2017), 043607, 9 p.Transformações de faseTunelamentoEquacao de bethe ansatzModelo de hubbardTwo-site Bose-Hubbard model with nonlinear tunneling : classical and quantum analysisEstrangeiroinfo: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:UFRGSORIGINAL001044431.pdf001044431.pdfTexto completo (inglês)application/pdf1249685http://www.lume.ufrgs.br/bitstream/10183/169617/1/001044431.pdfb88a2b755b9ad0dd8f6d35e76046fad5MD51TEXT001044431.pdf.txt001044431.pdf.txtExtracted Texttext/plain32373http://www.lume.ufrgs.br/bitstream/10183/169617/2/001044431.pdf.txt2d749fdd06e29c17d7573eaa71f6cd89MD52THUMBNAIL001044431.pdf.jpg001044431.pdf.jpgGenerated Thumbnailimage/jpeg2135http://www.lume.ufrgs.br/bitstream/10183/169617/3/001044431.pdf.jpg50f25d86c3782aadc81cbb0374d7fabaMD5310183/1696172023-06-24 03:37:10.047335oai:www.lume.ufrgs.br:10183/169617Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-06-24T06:37:10Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Two-site Bose-Hubbard model with nonlinear tunneling : classical and quantum analysis |
title |
Two-site Bose-Hubbard model with nonlinear tunneling : classical and quantum analysis |
spellingShingle |
Two-site Bose-Hubbard model with nonlinear tunneling : classical and quantum analysis Lima, Diefferson Rubeni da Rosa de Transformações de fase Tunelamento Equacao de bethe ansatz Modelo de hubbard |
title_short |
Two-site Bose-Hubbard model with nonlinear tunneling : classical and quantum analysis |
title_full |
Two-site Bose-Hubbard model with nonlinear tunneling : classical and quantum analysis |
title_fullStr |
Two-site Bose-Hubbard model with nonlinear tunneling : classical and quantum analysis |
title_full_unstemmed |
Two-site Bose-Hubbard model with nonlinear tunneling : classical and quantum analysis |
title_sort |
Two-site Bose-Hubbard model with nonlinear tunneling : classical and quantum analysis |
author |
Lima, Diefferson Rubeni da Rosa de |
author_facet |
Lima, Diefferson Rubeni da Rosa de Links, Jon Isaac, Phillip S. Foerster, Angela |
author_role |
author |
author2 |
Links, Jon Isaac, Phillip S. Foerster, Angela |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Lima, Diefferson Rubeni da Rosa de Links, Jon Isaac, Phillip S. Foerster, Angela |
dc.subject.por.fl_str_mv |
Transformações de fase Tunelamento Equacao de bethe ansatz Modelo de hubbard |
topic |
Transformações de fase Tunelamento Equacao de bethe ansatz Modelo de hubbard |
description |
The extended Bose-Hubbard model for a double-well potential with atom-pair tunneling is studied. Starting with a classical analysis we determine the existence of three quantum phases: self-trapping, phase-locking, and Josephson states. From this analysis we build the parameter space of quantum phase transitions between degenerate and nondegenerate ground states driven by the atom-pair tunneling. Considering only the repulsive case, we confirm the phase transition by the measure of the energy gap between the ground state and the first excited state. We study the structure of the solutions of the Bethe ansatz equations for a small number of atoms. An inspection of the roots for the ground state suggests a relationship to the physical properties of the system. By studying the energy gap we find that the profile of the roots of the Bethe ansatz equations is related to a quantum phase transition. |
publishDate |
2017 |
dc.date.accessioned.fl_str_mv |
2017-10-20T02:26:59Z |
dc.date.issued.fl_str_mv |
2017 |
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/10183/169617 |
dc.identifier.issn.pt_BR.fl_str_mv |
1050-2947 |
dc.identifier.nrb.pt_BR.fl_str_mv |
001044431 |
identifier_str_mv |
1050-2947 001044431 |
url |
http://hdl.handle.net/10183/169617 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Physical review. A, Atomic, molecular, and optical physics. New York. Vol. 95, no. 4 (Apr. 2017), 043607, 9 p. |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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application/pdf |
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Repositório Institucional da UFRGS |
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