Dimensional reduction of a binary Bose-Einstein condensate in mixed dimensions
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.82.053601 http://hdl.handle.net/11449/226145 |
Resumo: | We present effective reduced equations for the study of a binary Bose-Einstein condensate (BEC), where the confining potentials of the two BEC components have distinct asymmetry so that the components belong to different space dimensions as in a recent experiment [G. Lamporesi et al., Phys. Rev. Lett. 104, 153202 (2010).]. Starting from a binary three-dimensional (3D) Gross-Pitaevskii equation (GPE) and using a Lagrangian variational approach we derive a binary effective nonlinear Schr̈odinger equation with components in different reduced dimensions, for example, the first component in one dimension and the second in two dimensions as appropriate to represent a cigar-shaped BEC coupled to a disk-shaped BEC. We demonstrate that the effective reduced binary equation, which depends on the geometry of the system, is quite reliable when compared with the binary 3D GPE and can be efficiently used to perform numerical simulation and analytical calculation for the investigation of static and dynamic properties of a binary BEC in mixed dimensions. © 2010 The American Physical Society. |
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Dimensional reduction of a binary Bose-Einstein condensate in mixed dimensionsWe present effective reduced equations for the study of a binary Bose-Einstein condensate (BEC), where the confining potentials of the two BEC components have distinct asymmetry so that the components belong to different space dimensions as in a recent experiment [G. Lamporesi et al., Phys. Rev. Lett. 104, 153202 (2010).]. Starting from a binary three-dimensional (3D) Gross-Pitaevskii equation (GPE) and using a Lagrangian variational approach we derive a binary effective nonlinear Schr̈odinger equation with components in different reduced dimensions, for example, the first component in one dimension and the second in two dimensions as appropriate to represent a cigar-shaped BEC coupled to a disk-shaped BEC. We demonstrate that the effective reduced binary equation, which depends on the geometry of the system, is quite reliable when compared with the binary 3D GPE and can be efficiently used to perform numerical simulation and analytical calculation for the investigation of static and dynamic properties of a binary BEC in mixed dimensions. © 2010 The American Physical Society.Instituto de Física Teórica UNESP-Universidade Estadual Paulista, 01.140-070 São Paulo, São PauloINO-CNR Research Unit at the Dipartimento di Fisica 'Galileo Galilei' Università di Padova, Via Marzolo 8, I-35131 PadovaCAMTP University of Maribor, Krekova 2, SLO-2000 MariborInstituto de Física Teórica UNESP-Universidade Estadual Paulista, 01.140-070 São Paulo, São PauloUniversidade Estadual Paulista (UNESP)Università di PadovaUniversity of MariborYoung, Luis E.S. [UNESP]Salasnich, L.Adhikari, S. K. [UNESP]2022-04-28T21:37:13Z2022-04-28T21:37:13Z2010-12-06info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevA.82.053601Physical Review A - Atomic, Molecular, and Optical Physics, v. 82, n. 5, 2010.1050-29471094-1622http://hdl.handle.net/11449/22614510.1103/PhysRevA.82.0536012-s2.0-78649605803Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A - Atomic, Molecular, and Optical Physicsinfo:eu-repo/semantics/openAccess2022-04-28T21:37:13Zoai:repositorio.unesp.br:11449/226145Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T21:37:13Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Dimensional reduction of a binary Bose-Einstein condensate in mixed dimensions |
title |
Dimensional reduction of a binary Bose-Einstein condensate in mixed dimensions |
spellingShingle |
Dimensional reduction of a binary Bose-Einstein condensate in mixed dimensions Young, Luis E.S. [UNESP] |
title_short |
Dimensional reduction of a binary Bose-Einstein condensate in mixed dimensions |
title_full |
Dimensional reduction of a binary Bose-Einstein condensate in mixed dimensions |
title_fullStr |
Dimensional reduction of a binary Bose-Einstein condensate in mixed dimensions |
title_full_unstemmed |
Dimensional reduction of a binary Bose-Einstein condensate in mixed dimensions |
title_sort |
Dimensional reduction of a binary Bose-Einstein condensate in mixed dimensions |
author |
Young, Luis E.S. [UNESP] |
author_facet |
Young, Luis E.S. [UNESP] Salasnich, L. Adhikari, S. K. [UNESP] |
author_role |
author |
author2 |
Salasnich, L. Adhikari, S. K. [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Università di Padova University of Maribor |
dc.contributor.author.fl_str_mv |
Young, Luis E.S. [UNESP] Salasnich, L. Adhikari, S. K. [UNESP] |
description |
We present effective reduced equations for the study of a binary Bose-Einstein condensate (BEC), where the confining potentials of the two BEC components have distinct asymmetry so that the components belong to different space dimensions as in a recent experiment [G. Lamporesi et al., Phys. Rev. Lett. 104, 153202 (2010).]. Starting from a binary three-dimensional (3D) Gross-Pitaevskii equation (GPE) and using a Lagrangian variational approach we derive a binary effective nonlinear Schr̈odinger equation with components in different reduced dimensions, for example, the first component in one dimension and the second in two dimensions as appropriate to represent a cigar-shaped BEC coupled to a disk-shaped BEC. We demonstrate that the effective reduced binary equation, which depends on the geometry of the system, is quite reliable when compared with the binary 3D GPE and can be efficiently used to perform numerical simulation and analytical calculation for the investigation of static and dynamic properties of a binary BEC in mixed dimensions. © 2010 The American Physical Society. |
publishDate |
2010 |
dc.date.none.fl_str_mv |
2010-12-06 2022-04-28T21:37:13Z 2022-04-28T21:37:13Z |
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/10.1103/PhysRevA.82.053601 Physical Review A - Atomic, Molecular, and Optical Physics, v. 82, n. 5, 2010. 1050-2947 1094-1622 http://hdl.handle.net/11449/226145 10.1103/PhysRevA.82.053601 2-s2.0-78649605803 |
url |
http://dx.doi.org/10.1103/PhysRevA.82.053601 http://hdl.handle.net/11449/226145 |
identifier_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics, v. 82, n. 5, 2010. 1050-2947 1094-1622 10.1103/PhysRevA.82.053601 2-s2.0-78649605803 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus 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_ |
1803045913824854016 |