Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length
Autor(a) principal: | |
---|---|
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.67.013605 http://hdl.handle.net/11449/227310 |
Resumo: | We consider, by means of the variational approximation (VA) and direct numerical simulations of the Gross-Pitaevskii (GP) equation, the dynamics of two-dimensional (2D) and 3D condensates with a scattering length containing constant and harmonically varying parts, which can be achieved with an ac magnetic field tuned to the Feshbach resonance. For a rapid time modulation, we develop an approach based on the direct averaging of the GP equation, without using the VA. In the 2D case, both VA and direct simulations, as well as the averaging method, reveal the existence of stable self-confined condensates without an external trap, in agreement with qualitatively similar results recently reported for spatial solitons in nonlinear optics. In the 3D case, the VA again predicts the existence of a stable self-confined condensate without a trap. In this case, direct simulations demonstrate that the stability is limited in time, eventually switching into collapse, even though the constant part of the scattering length is positive (but not too large). Thus a spatially uniform ac magnetic field, resonantly tuned to control the scattering length, may play the role of an effective trap confining the condensate, and sometimes causing its collapse. © 2003 The American Physical Society. |
id |
UNSP_dcc73fb8696d1b2ea4bbaa3d79f7bf5c |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/227310 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering lengthWe consider, by means of the variational approximation (VA) and direct numerical simulations of the Gross-Pitaevskii (GP) equation, the dynamics of two-dimensional (2D) and 3D condensates with a scattering length containing constant and harmonically varying parts, which can be achieved with an ac magnetic field tuned to the Feshbach resonance. For a rapid time modulation, we develop an approach based on the direct averaging of the GP equation, without using the VA. In the 2D case, both VA and direct simulations, as well as the averaging method, reveal the existence of stable self-confined condensates without an external trap, in agreement with qualitatively similar results recently reported for spatial solitons in nonlinear optics. In the 3D case, the VA again predicts the existence of a stable self-confined condensate without a trap. In this case, direct simulations demonstrate that the stability is limited in time, eventually switching into collapse, even though the constant part of the scattering length is positive (but not too large). Thus a spatially uniform ac magnetic field, resonantly tuned to control the scattering length, may play the role of an effective trap confining the condensate, and sometimes causing its collapse. © 2003 The American Physical Society.Instituto de Fisica Teorica UNESP, Rua Pamplona 145, São Paulo, 01405-900Laboratoire de Physique Théorique et Modelisation Université de Cergy-Pontoise and CNRS, 33 boulevard de Pont, Cergy-Pontoise, 95011Instituto de Fisica Teorica UNESP, Rua Pamplona 145, São Paulo, 01405-900Universidade Estadual Paulista (UNESP)Université de Cergy-Pontoise and CNRSAbdullaev, Fatkhulla Kh. [UNESP]Caputo, Jean GuyKraenkel, Robert A. [UNESP]Malomed, Boris A. [UNESP]2022-04-29T07:12:39Z2022-04-29T07:12:39Z2003-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10http://dx.doi.org/10.1103/PhysRevA.67.013605Physical Review A - Atomic, Molecular, and Optical Physics, v. 67, n. 1, p. 10-, 2003.1094-16221050-2947http://hdl.handle.net/11449/22731010.1103/PhysRevA.67.0136052-s2.0-84887844338Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A - Atomic, Molecular, and Optical Physicsinfo:eu-repo/semantics/openAccess2022-04-29T07:12:40Zoai:repositorio.unesp.br:11449/227310Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-29T07:12:40Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length |
title |
Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length |
spellingShingle |
Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length Abdullaev, Fatkhulla Kh. [UNESP] |
title_short |
Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length |
title_full |
Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length |
title_fullStr |
Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length |
title_full_unstemmed |
Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length |
title_sort |
Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length |
author |
Abdullaev, Fatkhulla Kh. [UNESP] |
author_facet |
Abdullaev, Fatkhulla Kh. [UNESP] Caputo, Jean Guy Kraenkel, Robert A. [UNESP] Malomed, Boris A. [UNESP] |
author_role |
author |
author2 |
Caputo, Jean Guy Kraenkel, Robert A. [UNESP] Malomed, Boris A. [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Université de Cergy-Pontoise and CNRS |
dc.contributor.author.fl_str_mv |
Abdullaev, Fatkhulla Kh. [UNESP] Caputo, Jean Guy Kraenkel, Robert A. [UNESP] Malomed, Boris A. [UNESP] |
description |
We consider, by means of the variational approximation (VA) and direct numerical simulations of the Gross-Pitaevskii (GP) equation, the dynamics of two-dimensional (2D) and 3D condensates with a scattering length containing constant and harmonically varying parts, which can be achieved with an ac magnetic field tuned to the Feshbach resonance. For a rapid time modulation, we develop an approach based on the direct averaging of the GP equation, without using the VA. In the 2D case, both VA and direct simulations, as well as the averaging method, reveal the existence of stable self-confined condensates without an external trap, in agreement with qualitatively similar results recently reported for spatial solitons in nonlinear optics. In the 3D case, the VA again predicts the existence of a stable self-confined condensate without a trap. In this case, direct simulations demonstrate that the stability is limited in time, eventually switching into collapse, even though the constant part of the scattering length is positive (but not too large). Thus a spatially uniform ac magnetic field, resonantly tuned to control the scattering length, may play the role of an effective trap confining the condensate, and sometimes causing its collapse. © 2003 The American Physical Society. |
publishDate |
2003 |
dc.date.none.fl_str_mv |
2003-01-01 2022-04-29T07:12:39Z 2022-04-29T07:12:39Z |
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.67.013605 Physical Review A - Atomic, Molecular, and Optical Physics, v. 67, n. 1, p. 10-, 2003. 1094-1622 1050-2947 http://hdl.handle.net/11449/227310 10.1103/PhysRevA.67.013605 2-s2.0-84887844338 |
url |
http://dx.doi.org/10.1103/PhysRevA.67.013605 http://hdl.handle.net/11449/227310 |
identifier_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics, v. 67, n. 1, p. 10-, 2003. 1094-1622 1050-2947 10.1103/PhysRevA.67.013605 2-s2.0-84887844338 |
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 |
10 |
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_ |
1799965112152358912 |