Nonlinear Schrödinger equation with power-law confining potential

Detalhes bibliográficos
Autor(a) principal: Holz, Sheila M. [UNESP]
Data de Publicação: 2006
Outros Autores: Filho, Victo S. [UNESP], Tomio, Lauro [UNESP], Gammal, A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevA.74.013406
http://hdl.handle.net/11449/224779
Resumo: Critical limits of a stationary nonlinear three-dimensional Schrödinger equation with confining power-law potentials (∼ rα) are obtained using spherical symmetry. When the nonlinearity is given by an attractive two-body interaction (negative cubic term), it is shown how the maximum number of particles Nc in the trap increases as α decreases. With a negative cubic and positive quintic terms we study a first order phase transition, that occurs if the strength g3 of the quintic term is less than a critical value g3c. At the phase transition, the behavior of g3c with respect to α is given by g3c ∼0.0036+0.0251α+0.0088/ α2. © 2006 The American Physical Society.
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spelling Nonlinear Schrödinger equation with power-law confining potentialCritical limits of a stationary nonlinear three-dimensional Schrödinger equation with confining power-law potentials (∼ rα) are obtained using spherical symmetry. When the nonlinearity is given by an attractive two-body interaction (negative cubic term), it is shown how the maximum number of particles Nc in the trap increases as α decreases. With a negative cubic and positive quintic terms we study a first order phase transition, that occurs if the strength g3 of the quintic term is less than a critical value g3c. At the phase transition, the behavior of g3c with respect to α is given by g3c ∼0.0036+0.0251α+0.0088/ α2. © 2006 The American Physical Society.Instituto de Física Teórica Universidade Estadual Paulista, 01405-900, São PauloInstituto de Física Universidade de São Paulo, C.P. 66318, 05315-970, São PauloInstituto de Física Teórica Universidade Estadual Paulista, 01405-900, São PauloUniversidade Estadual Paulista (UNESP)Universidade de São Paulo (USP)Holz, Sheila M. [UNESP]Filho, Victo S. [UNESP]Tomio, Lauro [UNESP]Gammal, A.2022-04-28T20:08:16Z2022-04-28T20:08:16Z2006-07-26info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevA.74.013406Physical Review A - Atomic, Molecular, and Optical Physics, v. 74, n. 1, 2006.1050-29471094-1622http://hdl.handle.net/11449/22477910.1103/PhysRevA.74.0134062-s2.0-33746256494Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A - Atomic, Molecular, and Optical Physicsinfo:eu-repo/semantics/openAccess2022-04-28T20:08:16Zoai:repositorio.unesp.br:11449/224779Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:31:37.308788Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Nonlinear Schrödinger equation with power-law confining potential
title Nonlinear Schrödinger equation with power-law confining potential
spellingShingle Nonlinear Schrödinger equation with power-law confining potential
Holz, Sheila M. [UNESP]
title_short Nonlinear Schrödinger equation with power-law confining potential
title_full Nonlinear Schrödinger equation with power-law confining potential
title_fullStr Nonlinear Schrödinger equation with power-law confining potential
title_full_unstemmed Nonlinear Schrödinger equation with power-law confining potential
title_sort Nonlinear Schrödinger equation with power-law confining potential
author Holz, Sheila M. [UNESP]
author_facet Holz, Sheila M. [UNESP]
Filho, Victo S. [UNESP]
Tomio, Lauro [UNESP]
Gammal, A.
author_role author
author2 Filho, Victo S. [UNESP]
Tomio, Lauro [UNESP]
Gammal, A.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Holz, Sheila M. [UNESP]
Filho, Victo S. [UNESP]
Tomio, Lauro [UNESP]
Gammal, A.
description Critical limits of a stationary nonlinear three-dimensional Schrödinger equation with confining power-law potentials (∼ rα) are obtained using spherical symmetry. When the nonlinearity is given by an attractive two-body interaction (negative cubic term), it is shown how the maximum number of particles Nc in the trap increases as α decreases. With a negative cubic and positive quintic terms we study a first order phase transition, that occurs if the strength g3 of the quintic term is less than a critical value g3c. At the phase transition, the behavior of g3c with respect to α is given by g3c ∼0.0036+0.0251α+0.0088/ α2. © 2006 The American Physical Society.
publishDate 2006
dc.date.none.fl_str_mv 2006-07-26
2022-04-28T20:08:16Z
2022-04-28T20:08:16Z
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/PhysRevA.74.013406
Physical Review A - Atomic, Molecular, and Optical Physics, v. 74, n. 1, 2006.
1050-2947
1094-1622
http://hdl.handle.net/11449/224779
10.1103/PhysRevA.74.013406
2-s2.0-33746256494
url http://dx.doi.org/10.1103/PhysRevA.74.013406
http://hdl.handle.net/11449/224779
identifier_str_mv Physical Review A - Atomic, Molecular, and Optical Physics, v. 74, n. 1, 2006.
1050-2947
1094-1622
10.1103/PhysRevA.74.013406
2-s2.0-33746256494
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
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