Numerical study of the coupled time-dependent Gross-Pitaevskii equation: Application to Bose-Einstein condensation
Autor(a) principal: | |
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Data de Publicação: | 2001 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevE.63.056704 http://hdl.handle.net/11449/66508 |
Resumo: | The Bose-Einstein condensate of several types of trapped bosons at ultralow temperature was described using the coupled time dependent Gross-Pitaevskii equation. Both the stationary and time evolution problems were analyzed using this approach. The ground state stationary wave functions were found to be sharply peaked near the origin for attractive interatomic interaction for larger nonlinearity while for a repulsive interatomic interaction the wave function extends over a larger region of space. |
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Numerical study of the coupled time-dependent Gross-Pitaevskii equation: Application to Bose-Einstein condensationAtomic physicsBoundary conditionsLattice vibrationsLow temperature effectsMathematical modelsOscillationsQuantum electronicsBose-Einstein condensation (BEC)Gross-Pitaevskii equationCondensationThe Bose-Einstein condensate of several types of trapped bosons at ultralow temperature was described using the coupled time dependent Gross-Pitaevskii equation. Both the stationary and time evolution problems were analyzed using this approach. The ground state stationary wave functions were found to be sharply peaked near the origin for attractive interatomic interaction for larger nonlinearity while for a repulsive interatomic interaction the wave function extends over a larger region of space.Instituto de Fisica Teorica Universidade Estadual Paulista, 01.405-900 São PauloInstituto de Fisica Teorica Universidade Estadual Paulista, 01.405-900 São PauloUniversidade Estadual Paulista (Unesp)Adhikari, S. K. [UNESP]2014-05-27T11:20:16Z2014-05-27T11:20:16Z2001-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article567041-567049application/pdfhttp://dx.doi.org/10.1103/PhysRevE.63.056704Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 63, n. 5 II, p. 567041-567049, 2001.1539-3755http://hdl.handle.net/11449/6650810.1103/PhysRevE.63.056704WOS:0001687308000972-s2.0-00353335572-s2.0-0035333557.pdf8031087349809439Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review E: Statistical, Nonlinear, and Soft Matter Physicsinfo:eu-repo/semantics/openAccess2024-01-13T06:31:57Zoai:repositorio.unesp.br:11449/66508Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-13T06:31:57Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Numerical study of the coupled time-dependent Gross-Pitaevskii equation: Application to Bose-Einstein condensation |
title |
Numerical study of the coupled time-dependent Gross-Pitaevskii equation: Application to Bose-Einstein condensation |
spellingShingle |
Numerical study of the coupled time-dependent Gross-Pitaevskii equation: Application to Bose-Einstein condensation Adhikari, S. K. [UNESP] Atomic physics Boundary conditions Lattice vibrations Low temperature effects Mathematical models Oscillations Quantum electronics Bose-Einstein condensation (BEC) Gross-Pitaevskii equation Condensation |
title_short |
Numerical study of the coupled time-dependent Gross-Pitaevskii equation: Application to Bose-Einstein condensation |
title_full |
Numerical study of the coupled time-dependent Gross-Pitaevskii equation: Application to Bose-Einstein condensation |
title_fullStr |
Numerical study of the coupled time-dependent Gross-Pitaevskii equation: Application to Bose-Einstein condensation |
title_full_unstemmed |
Numerical study of the coupled time-dependent Gross-Pitaevskii equation: Application to Bose-Einstein condensation |
title_sort |
Numerical study of the coupled time-dependent Gross-Pitaevskii equation: Application to Bose-Einstein condensation |
author |
Adhikari, S. K. [UNESP] |
author_facet |
Adhikari, S. K. [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Adhikari, S. K. [UNESP] |
dc.subject.por.fl_str_mv |
Atomic physics Boundary conditions Lattice vibrations Low temperature effects Mathematical models Oscillations Quantum electronics Bose-Einstein condensation (BEC) Gross-Pitaevskii equation Condensation |
topic |
Atomic physics Boundary conditions Lattice vibrations Low temperature effects Mathematical models Oscillations Quantum electronics Bose-Einstein condensation (BEC) Gross-Pitaevskii equation Condensation |
description |
The Bose-Einstein condensate of several types of trapped bosons at ultralow temperature was described using the coupled time dependent Gross-Pitaevskii equation. Both the stationary and time evolution problems were analyzed using this approach. The ground state stationary wave functions were found to be sharply peaked near the origin for attractive interatomic interaction for larger nonlinearity while for a repulsive interatomic interaction the wave function extends over a larger region of space. |
publishDate |
2001 |
dc.date.none.fl_str_mv |
2001-05-01 2014-05-27T11:20:16Z 2014-05-27T11:20:16Z |
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/PhysRevE.63.056704 Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 63, n. 5 II, p. 567041-567049, 2001. 1539-3755 http://hdl.handle.net/11449/66508 10.1103/PhysRevE.63.056704 WOS:000168730800097 2-s2.0-0035333557 2-s2.0-0035333557.pdf 8031087349809439 |
url |
http://dx.doi.org/10.1103/PhysRevE.63.056704 http://hdl.handle.net/11449/66508 |
identifier_str_mv |
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 63, n. 5 II, p. 567041-567049, 2001. 1539-3755 10.1103/PhysRevE.63.056704 WOS:000168730800097 2-s2.0-0035333557 2-s2.0-0035333557.pdf 8031087349809439 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
567041-567049 application/pdf |
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_ |
1799965602432942080 |