Nonlinear Schrödinger equation with power-law confining potential
Autor(a) principal: | |
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Data de Publicação: | 2006 |
Outros Autores: | , , |
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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Repositório Institucional da UNESP |
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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 |
|
_version_ |
1808129330971148288 |