Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices

Detalhes bibliográficos
Autor(a) principal: Abdullaev, F. Kh [UNESP]
Data de Publicação: 2008
Outros Autores: Gammal, A., Salerno, M. [UNESP], Tomio, Lauro [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevA.77.023615
http://hdl.handle.net/11449/225070
Resumo: The properties of the localized states of a two-component Bose-Einstein condensate confined in a nonlinear periodic potential (nonlinear optical lattice) are investigated. We discuss the existence of different types of solitons and study their stability by means of analytical and numerical approaches. The symmetry properties of the localized states with respect to nonlinear optical lattices are also investigated. We show that nonlinear optical lattices allow the existence of bright soliton modes with equal symmetry in both components and bright localized modes of mixed symmetry type, as well as dark-bright bound states and bright modes on periodic backgrounds. In spite of the quasi-one-dimensional nature of the problem, the fundamental symmetric localized modes undergo a delocalizing transition when the strength of the nonlinear optical lattice is varied. This transition is associated with the existence of an unstable solution, which exhibits a shrinking (decaying) behavior for slightly overcritical (undercritical) variations in the number of atoms. © 2008 The American Physical Society.
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spelling Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical latticesThe properties of the localized states of a two-component Bose-Einstein condensate confined in a nonlinear periodic potential (nonlinear optical lattice) are investigated. We discuss the existence of different types of solitons and study their stability by means of analytical and numerical approaches. The symmetry properties of the localized states with respect to nonlinear optical lattices are also investigated. We show that nonlinear optical lattices allow the existence of bright soliton modes with equal symmetry in both components and bright localized modes of mixed symmetry type, as well as dark-bright bound states and bright modes on periodic backgrounds. In spite of the quasi-one-dimensional nature of the problem, the fundamental symmetric localized modes undergo a delocalizing transition when the strength of the nonlinear optical lattice is varied. This transition is associated with the existence of an unstable solution, which exhibits a shrinking (decaying) behavior for slightly overcritical (undercritical) variations in the number of atoms. © 2008 The American Physical Society.Physical-Technical Institute of the Academy of Sciences, TashkentInstituto de Física Teórica Universidade Estadual Paulista, 145, Rua Pamplona, 01405-900, São Paulo, SPInstituto de Física Universidade de São Paulo, C.P. 66318, 05315-970, São Paulo, SPDipartimento di Fisica E. R. Caianiello Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia (CNISM) Universitá di Salerno, I-84081, Baronissi (SA)Instituto de Física Teórica Universidade Estadual Paulista, 145, Rua Pamplona, 01405-900, São Paulo, SPPhysical-Technical Institute of the Academy of SciencesUniversidade Estadual Paulista (UNESP)Universidade de São Paulo (USP)Universitá di SalernoAbdullaev, F. Kh [UNESP]Gammal, A.Salerno, M. [UNESP]Tomio, Lauro [UNESP]2022-04-28T20:37:47Z2022-04-28T20:37:47Z2008-02-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevA.77.023615Physical Review A - Atomic, Molecular, and Optical Physics, v. 77, n. 2, 2008.1050-29471094-1622http://hdl.handle.net/11449/22507010.1103/PhysRevA.77.0236152-s2.0-40849100145Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A - Atomic, Molecular, and Optical Physicsinfo:eu-repo/semantics/openAccess2022-04-28T20:37:47Zoai:repositorio.unesp.br:11449/225070Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:07:19.208813Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices
title Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices
spellingShingle Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices
Abdullaev, F. Kh [UNESP]
title_short Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices
title_full Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices
title_fullStr Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices
title_full_unstemmed Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices
title_sort Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices
author Abdullaev, F. Kh [UNESP]
author_facet Abdullaev, F. Kh [UNESP]
Gammal, A.
Salerno, M. [UNESP]
Tomio, Lauro [UNESP]
author_role author
author2 Gammal, A.
Salerno, M. [UNESP]
Tomio, Lauro [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Physical-Technical Institute of the Academy of Sciences
Universidade Estadual Paulista (UNESP)
Universidade de São Paulo (USP)
Universitá di Salerno
dc.contributor.author.fl_str_mv Abdullaev, F. Kh [UNESP]
Gammal, A.
Salerno, M. [UNESP]
Tomio, Lauro [UNESP]
description The properties of the localized states of a two-component Bose-Einstein condensate confined in a nonlinear periodic potential (nonlinear optical lattice) are investigated. We discuss the existence of different types of solitons and study their stability by means of analytical and numerical approaches. The symmetry properties of the localized states with respect to nonlinear optical lattices are also investigated. We show that nonlinear optical lattices allow the existence of bright soliton modes with equal symmetry in both components and bright localized modes of mixed symmetry type, as well as dark-bright bound states and bright modes on periodic backgrounds. In spite of the quasi-one-dimensional nature of the problem, the fundamental symmetric localized modes undergo a delocalizing transition when the strength of the nonlinear optical lattice is varied. This transition is associated with the existence of an unstable solution, which exhibits a shrinking (decaying) behavior for slightly overcritical (undercritical) variations in the number of atoms. © 2008 The American Physical Society.
publishDate 2008
dc.date.none.fl_str_mv 2008-02-12
2022-04-28T20:37:47Z
2022-04-28T20:37:47Z
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.77.023615
Physical Review A - Atomic, Molecular, and Optical Physics, v. 77, n. 2, 2008.
1050-2947
1094-1622
http://hdl.handle.net/11449/225070
10.1103/PhysRevA.77.023615
2-s2.0-40849100145
url http://dx.doi.org/10.1103/PhysRevA.77.023615
http://hdl.handle.net/11449/225070
identifier_str_mv Physical Review A - Atomic, Molecular, and Optical Physics, v. 77, n. 2, 2008.
1050-2947
1094-1622
10.1103/PhysRevA.77.023615
2-s2.0-40849100145
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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