Numerical study of the spherically symmetric Gross-Pitaevskii equation in two space dimensions

Detalhes bibliográficos
Autor(a) principal: Adhikari, Sadhan K. [UNESP]
Data de Publicação: 2000
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevE.62.2937
http://hdl.handle.net/11449/66217
Resumo: The Gross-Pitaevskii equation for Bose-Einstein condensation (BEC) in two space dimensions under the action of a harmonic oscillator trap potential for bosonic atoms with attractive and repulsive interparticle interactions was numerically studied by using time-dependent and time-independent approaches. In both cases, numerical difficulty appeared for large nonlinearity. Nonetheless, the solution of the time-dependent approach exhibited intrinsic oscillation with time iteration which is independent of space and time steps used in discretization.
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spelling Numerical study of the spherically symmetric Gross-Pitaevskii equation in two space dimensionsElectrodynamicsElectron transport propertiesElectron trapsElectronic density of statesGround stateLow temperature operationsNonlinear equationsOscillationsBose Einstein condensateDilute bosonic atomsGross-Pitaevskii equationGround state wave functionRepulsive interatomic interactionsSchrodinger equationTrap energyAtomsThe Gross-Pitaevskii equation for Bose-Einstein condensation (BEC) in two space dimensions under the action of a harmonic oscillator trap potential for bosonic atoms with attractive and repulsive interparticle interactions was numerically studied by using time-dependent and time-independent approaches. In both cases, numerical difficulty appeared for large nonlinearity. Nonetheless, the solution of the time-dependent approach exhibited intrinsic oscillation with time iteration which is independent of space and time steps used in discretization.Inst. de Fis. Teórica Universidade Estadual Paulista, 01.405-900 São Paulo, SPInst. de Fis. Teórica Universidade Estadual Paulista, 01.405-900 São Paulo, SPUniversidade Estadual Paulista (Unesp)Adhikari, Sadhan K. [UNESP]2014-05-27T11:19:56Z2014-05-27T11:19:56Z2000-08-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2937-2944application/pdfhttp://dx.doi.org/10.1103/PhysRevE.62.2937Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 62, n. 2 B, p. 2937-2944, 2000.1063-651Xhttp://hdl.handle.net/11449/6621710.1103/PhysRevE.62.2937WOS:0000889608000632-s2.0-00342390872-s2.0-0034239087.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topicsinfo:eu-repo/semantics/openAccess2023-10-19T06:11:08Zoai:repositorio.unesp.br:11449/66217Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:23:13.466850Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Numerical study of the spherically symmetric Gross-Pitaevskii equation in two space dimensions
title Numerical study of the spherically symmetric Gross-Pitaevskii equation in two space dimensions
spellingShingle Numerical study of the spherically symmetric Gross-Pitaevskii equation in two space dimensions
Adhikari, Sadhan K. [UNESP]
Electrodynamics
Electron transport properties
Electron traps
Electronic density of states
Ground state
Low temperature operations
Nonlinear equations
Oscillations
Bose Einstein condensate
Dilute bosonic atoms
Gross-Pitaevskii equation
Ground state wave function
Repulsive interatomic interactions
Schrodinger equation
Trap energy
Atoms
title_short Numerical study of the spherically symmetric Gross-Pitaevskii equation in two space dimensions
title_full Numerical study of the spherically symmetric Gross-Pitaevskii equation in two space dimensions
title_fullStr Numerical study of the spherically symmetric Gross-Pitaevskii equation in two space dimensions
title_full_unstemmed Numerical study of the spherically symmetric Gross-Pitaevskii equation in two space dimensions
title_sort Numerical study of the spherically symmetric Gross-Pitaevskii equation in two space dimensions
author Adhikari, Sadhan K. [UNESP]
author_facet Adhikari, Sadhan K. [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Adhikari, Sadhan K. [UNESP]
dc.subject.por.fl_str_mv Electrodynamics
Electron transport properties
Electron traps
Electronic density of states
Ground state
Low temperature operations
Nonlinear equations
Oscillations
Bose Einstein condensate
Dilute bosonic atoms
Gross-Pitaevskii equation
Ground state wave function
Repulsive interatomic interactions
Schrodinger equation
Trap energy
Atoms
topic Electrodynamics
Electron transport properties
Electron traps
Electronic density of states
Ground state
Low temperature operations
Nonlinear equations
Oscillations
Bose Einstein condensate
Dilute bosonic atoms
Gross-Pitaevskii equation
Ground state wave function
Repulsive interatomic interactions
Schrodinger equation
Trap energy
Atoms
description The Gross-Pitaevskii equation for Bose-Einstein condensation (BEC) in two space dimensions under the action of a harmonic oscillator trap potential for bosonic atoms with attractive and repulsive interparticle interactions was numerically studied by using time-dependent and time-independent approaches. In both cases, numerical difficulty appeared for large nonlinearity. Nonetheless, the solution of the time-dependent approach exhibited intrinsic oscillation with time iteration which is independent of space and time steps used in discretization.
publishDate 2000
dc.date.none.fl_str_mv 2000-08-01
2014-05-27T11:19:56Z
2014-05-27T11:19:56Z
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.62.2937
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 62, n. 2 B, p. 2937-2944, 2000.
1063-651X
http://hdl.handle.net/11449/66217
10.1103/PhysRevE.62.2937
WOS:000088960800063
2-s2.0-0034239087
2-s2.0-0034239087.pdf
url http://dx.doi.org/10.1103/PhysRevE.62.2937
http://hdl.handle.net/11449/66217
identifier_str_mv Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 62, n. 2 B, p. 2937-2944, 2000.
1063-651X
10.1103/PhysRevE.62.2937
WOS:000088960800063
2-s2.0-0034239087
2-s2.0-0034239087.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 2937-2944
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_ 1808128506343718912

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