Stability of trapped Bose-Einstein condensates
Autor(a) principal: | |
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Data de Publicação: | 2001 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.63.043604 http://hdl.handle.net/11449/224562 |
Resumo: | In three-dimensional trapped Bose-Einstein condensate (BEC), described by the time-dependent Gross-Pitaevskii-Ginzburg equation, we study the effect of initial conditions on stability using a Gaussian variational approach and exact numerical simulations. We also discuss the validity of the criterion for stability suggested by Vakhitov and Kolokolov. The maximum initial chirp (initial focusing defocusing of cloud) that can lead a stable condensate to collapse even before the number of atoms reaches its critical limit is obtained for several specific cases. When we consider two- and three-body nonlinear terms, with negative cubic and positive quintic terms, we have the conditions for the existence of two phases in the condensate. In this case, the magnitude of the oscillations between the two phases are studied considering sufficient large initial chirps. The occurrence of collapse in a BEC with repulsive two-body interaction is also shown to be possible. ©2001 The American Physical Society. |
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Stability of trapped Bose-Einstein condensatesIn three-dimensional trapped Bose-Einstein condensate (BEC), described by the time-dependent Gross-Pitaevskii-Ginzburg equation, we study the effect of initial conditions on stability using a Gaussian variational approach and exact numerical simulations. We also discuss the validity of the criterion for stability suggested by Vakhitov and Kolokolov. The maximum initial chirp (initial focusing defocusing of cloud) that can lead a stable condensate to collapse even before the number of atoms reaches its critical limit is obtained for several specific cases. When we consider two- and three-body nonlinear terms, with negative cubic and positive quintic terms, we have the conditions for the existence of two phases in the condensate. In this case, the magnitude of the oscillations between the two phases are studied considering sufficient large initial chirps. The occurrence of collapse in a BEC with repulsive two-body interaction is also shown to be possible. ©2001 The American Physical Society.Inst. de Fis. Teórica Universidade Estadual Paulista, 01405-900 São PauloDepartamento de Física Inst. Tecn. da Aeronáutica Centro Técnico Aeroespacial, 12228-900 S. Jose dos Campos, SPPhysical-Technical Institute, TashkentInst. de Fis. Teórica Universidade Estadual Paulista, 01405-900 São PauloUniversidade Estadual Paulista (UNESP)Centro Técnico AeroespacialPhysical-Technical InstituteAbdullaev, F. Kh [UNESP]Gammal, A. [UNESP]Tomio, Lauro [UNESP]Frederico, T.2022-04-28T20:00:46Z2022-04-28T20:00:46Z2001-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1-14http://dx.doi.org/10.1103/PhysRevA.63.043604Physical Review A - Atomic, Molecular, and Optical Physics, v. 63, n. 4, p. 1-14, 2001.1050-2947http://hdl.handle.net/11449/22456210.1103/PhysRevA.63.0436042-s2.0-20444385152Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A - Atomic, Molecular, and Optical Physicsinfo:eu-repo/semantics/openAccess2022-04-28T20:00:48Zoai:repositorio.unesp.br:11449/224562Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:23:47.009539Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Stability of trapped Bose-Einstein condensates |
title |
Stability of trapped Bose-Einstein condensates |
spellingShingle |
Stability of trapped Bose-Einstein condensates Abdullaev, F. Kh [UNESP] |
title_short |
Stability of trapped Bose-Einstein condensates |
title_full |
Stability of trapped Bose-Einstein condensates |
title_fullStr |
Stability of trapped Bose-Einstein condensates |
title_full_unstemmed |
Stability of trapped Bose-Einstein condensates |
title_sort |
Stability of trapped Bose-Einstein condensates |
author |
Abdullaev, F. Kh [UNESP] |
author_facet |
Abdullaev, F. Kh [UNESP] Gammal, A. [UNESP] Tomio, Lauro [UNESP] Frederico, T. |
author_role |
author |
author2 |
Gammal, A. [UNESP] Tomio, Lauro [UNESP] Frederico, T. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Centro Técnico Aeroespacial Physical-Technical Institute |
dc.contributor.author.fl_str_mv |
Abdullaev, F. Kh [UNESP] Gammal, A. [UNESP] Tomio, Lauro [UNESP] Frederico, T. |
description |
In three-dimensional trapped Bose-Einstein condensate (BEC), described by the time-dependent Gross-Pitaevskii-Ginzburg equation, we study the effect of initial conditions on stability using a Gaussian variational approach and exact numerical simulations. We also discuss the validity of the criterion for stability suggested by Vakhitov and Kolokolov. The maximum initial chirp (initial focusing defocusing of cloud) that can lead a stable condensate to collapse even before the number of atoms reaches its critical limit is obtained for several specific cases. When we consider two- and three-body nonlinear terms, with negative cubic and positive quintic terms, we have the conditions for the existence of two phases in the condensate. In this case, the magnitude of the oscillations between the two phases are studied considering sufficient large initial chirps. The occurrence of collapse in a BEC with repulsive two-body interaction is also shown to be possible. ©2001 The American Physical Society. |
publishDate |
2001 |
dc.date.none.fl_str_mv |
2001-01-01 2022-04-28T20:00:46Z 2022-04-28T20:00:46Z |
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.63.043604 Physical Review A - Atomic, Molecular, and Optical Physics, v. 63, n. 4, p. 1-14, 2001. 1050-2947 http://hdl.handle.net/11449/224562 10.1103/PhysRevA.63.043604 2-s2.0-20444385152 |
url |
http://dx.doi.org/10.1103/PhysRevA.63.043604 http://hdl.handle.net/11449/224562 |
identifier_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics, v. 63, n. 4, p. 1-14, 2001. 1050-2947 10.1103/PhysRevA.63.043604 2-s2.0-20444385152 |
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.format.none.fl_str_mv |
1-14 |
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_ |
1808129516069978112 |