Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management
Autor(a) principal: | |
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Data de Publicação: | 2003 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.68.053606 http://hdl.handle.net/11449/228454 |
Resumo: | The dynamics of a discrete soliton in an array of Bose-Einstein condensates under the action of a periodically time-modulated atomic scattering length [Feshbach-resonance management (FRM)] is investigated. The cases of both slow and rapid modulations, in comparison with the tunneling frequency, are considered. We employ a discrete variational approach for the analysis of the system. The existence of nonlinear resonances and chaos is predicted at special values of the driving frequency. Soliton splitting is observed in numerical simulations. In the case of the rapid modulation, we derive an averaged equation, which is a generalized discrete nonlinear Schrödinger equation, including higher-order effective nonlinearities and intersite nonlinear interactions. Thus the predicted discrete FRM solitons are a direct matter-wave analog of recently investigated discrete diffraction-managed optical solitons. © 2003 The American Physical Society. |
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Repositório Institucional da UNESP |
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Array of Bose-Einstein condensates under time-periodic Feshbach-resonance managementThe dynamics of a discrete soliton in an array of Bose-Einstein condensates under the action of a periodically time-modulated atomic scattering length [Feshbach-resonance management (FRM)] is investigated. The cases of both slow and rapid modulations, in comparison with the tunneling frequency, are considered. We employ a discrete variational approach for the analysis of the system. The existence of nonlinear resonances and chaos is predicted at special values of the driving frequency. Soliton splitting is observed in numerical simulations. In the case of the rapid modulation, we derive an averaged equation, which is a generalized discrete nonlinear Schrödinger equation, including higher-order effective nonlinearities and intersite nonlinear interactions. Thus the predicted discrete FRM solitons are a direct matter-wave analog of recently investigated discrete diffraction-managed optical solitons. © 2003 The American Physical Society.Physical-Technical Institute of the Uzbek Academy of Sciences, 2-B Mavlyanov Street, Tashkent, 700084Instituto de Fisica Teorica UNESP, R. Pamplona 145, Sao Paulo, 01405-900Department of Interdisciplinary Studies Faculty of Engineering Tel Aviv University, Tel-Aviv, 69978Instituto de Fisica Teorica UNESP, R. Pamplona 145, Sao Paulo, 01405-900Physical-Technical Institute of the Uzbek Academy of SciencesUniversidade Estadual Paulista (UNESP)Tel Aviv UniversityAbdullaev, F. Kh. [UNESP]Tsoy, E. N.Malomed, B. A.Kraenkel, R. A. [UNESP]2022-04-29T08:26:51Z2022-04-29T08:26:51Z2003-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article8http://dx.doi.org/10.1103/PhysRevA.68.053606Physical Review A - Atomic, Molecular, and Optical Physics, v. 68, n. 5, p. 8-, 2003.1094-16221050-2947http://hdl.handle.net/11449/22845410.1103/PhysRevA.68.0536062-s2.0-85037219333Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A - Atomic, Molecular, and Optical Physicsinfo:eu-repo/semantics/openAccess2022-04-29T08:26:51Zoai:repositorio.unesp.br:11449/228454Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:10:01.260044Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management |
title |
Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management |
spellingShingle |
Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management Abdullaev, F. Kh. [UNESP] |
title_short |
Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management |
title_full |
Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management |
title_fullStr |
Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management |
title_full_unstemmed |
Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management |
title_sort |
Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management |
author |
Abdullaev, F. Kh. [UNESP] |
author_facet |
Abdullaev, F. Kh. [UNESP] Tsoy, E. N. Malomed, B. A. Kraenkel, R. A. [UNESP] |
author_role |
author |
author2 |
Tsoy, E. N. Malomed, B. A. Kraenkel, R. A. [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Physical-Technical Institute of the Uzbek Academy of Sciences Universidade Estadual Paulista (UNESP) Tel Aviv University |
dc.contributor.author.fl_str_mv |
Abdullaev, F. Kh. [UNESP] Tsoy, E. N. Malomed, B. A. Kraenkel, R. A. [UNESP] |
description |
The dynamics of a discrete soliton in an array of Bose-Einstein condensates under the action of a periodically time-modulated atomic scattering length [Feshbach-resonance management (FRM)] is investigated. The cases of both slow and rapid modulations, in comparison with the tunneling frequency, are considered. We employ a discrete variational approach for the analysis of the system. The existence of nonlinear resonances and chaos is predicted at special values of the driving frequency. Soliton splitting is observed in numerical simulations. In the case of the rapid modulation, we derive an averaged equation, which is a generalized discrete nonlinear Schrödinger equation, including higher-order effective nonlinearities and intersite nonlinear interactions. Thus the predicted discrete FRM solitons are a direct matter-wave analog of recently investigated discrete diffraction-managed optical solitons. © 2003 The American Physical Society. |
publishDate |
2003 |
dc.date.none.fl_str_mv |
2003-01-01 2022-04-29T08:26:51Z 2022-04-29T08:26:51Z |
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.68.053606 Physical Review A - Atomic, Molecular, and Optical Physics, v. 68, n. 5, p. 8-, 2003. 1094-1622 1050-2947 http://hdl.handle.net/11449/228454 10.1103/PhysRevA.68.053606 2-s2.0-85037219333 |
url |
http://dx.doi.org/10.1103/PhysRevA.68.053606 http://hdl.handle.net/11449/228454 |
identifier_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics, v. 68, n. 5, p. 8-, 2003. 1094-1622 1050-2947 10.1103/PhysRevA.68.053606 2-s2.0-85037219333 |
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.format.none.fl_str_mv |
8 |
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_ |
1808129399529144320 |