Coherent atomic oscillations and resonances between coupled Bose-Einstein condensates with time-dependent trapping potential
Autor(a) principal: | |
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Data de Publicação: | 2000 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.62.023613 http://hdl.handle.net/11449/228451 |
Resumo: | We study the quantum coherent tunneling between two Bose-Einstein condensates separated through an oscillating trap potential. The cases of slow and rapid varying in the time trap potential are considered. In the case of a slowly varying trap, we study the nonlinear resonances and chaos in the oscillations of the relative atomic population. Using the Melnikov function approach, we find the conditions for chaotic macroscopic quantum-tunneling phenomena to exist. Criteria for the onset of chaos are also given. We find the values of frequency and modulation amplitude which lead to chaos on oscillations in the relative population, for any given damping and the nonlinear atomic interaction. In the case of a rapidly varying trap, we use the multiscale expansion method in the parameter [Formula Presented] where Ω is the frequency of modulations, and we derive the averaged system of equations for the modes. The analysis of this system shows that new macroscopic quantum self-trapping regions, in comparison with the constant trap case, exist. © 2000 The American Physical Society. |
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Coherent atomic oscillations and resonances between coupled Bose-Einstein condensates with time-dependent trapping potentialWe study the quantum coherent tunneling between two Bose-Einstein condensates separated through an oscillating trap potential. The cases of slow and rapid varying in the time trap potential are considered. In the case of a slowly varying trap, we study the nonlinear resonances and chaos in the oscillations of the relative atomic population. Using the Melnikov function approach, we find the conditions for chaotic macroscopic quantum-tunneling phenomena to exist. Criteria for the onset of chaos are also given. We find the values of frequency and modulation amplitude which lead to chaos on oscillations in the relative population, for any given damping and the nonlinear atomic interaction. In the case of a rapidly varying trap, we use the multiscale expansion method in the parameter [Formula Presented] where Ω is the frequency of modulations, and we derive the averaged system of equations for the modes. The analysis of this system shows that new macroscopic quantum self-trapping regions, in comparison with the constant trap case, exist. © 2000 The American Physical Society.Physical-Technical Institute Uzbek Academy of Sciences, G. Mavlyanov Street 2-b, Tashkent-84, 700084Instituto de Física Teorica Universidade Estadual Paulista, Rua Pamplona 145, São Paulo, 01405-900Instituto de Física Teorica Universidade Estadual Paulista, Rua Pamplona 145, São Paulo, 01405-900Uzbek Academy of SciencesUniversidade Estadual Paulista (UNESP)Abdullaev, F. Kh. [UNESP]Kraenkel, R. A. [UNESP]2022-04-29T08:26:51Z2022-04-29T08:26:51Z2000-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article9http://dx.doi.org/10.1103/PhysRevA.62.023613Physical Review A - Atomic, Molecular, and Optical Physics, v. 62, n. 2, p. 9-, 2000.1094-16221050-2947http://hdl.handle.net/11449/22845110.1103/PhysRevA.62.0236132-s2.0-85037211772Scopusreponame: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:11449/228451Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:12:12.864350Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Coherent atomic oscillations and resonances between coupled Bose-Einstein condensates with time-dependent trapping potential |
title |
Coherent atomic oscillations and resonances between coupled Bose-Einstein condensates with time-dependent trapping potential |
spellingShingle |
Coherent atomic oscillations and resonances between coupled Bose-Einstein condensates with time-dependent trapping potential Abdullaev, F. Kh. [UNESP] |
title_short |
Coherent atomic oscillations and resonances between coupled Bose-Einstein condensates with time-dependent trapping potential |
title_full |
Coherent atomic oscillations and resonances between coupled Bose-Einstein condensates with time-dependent trapping potential |
title_fullStr |
Coherent atomic oscillations and resonances between coupled Bose-Einstein condensates with time-dependent trapping potential |
title_full_unstemmed |
Coherent atomic oscillations and resonances between coupled Bose-Einstein condensates with time-dependent trapping potential |
title_sort |
Coherent atomic oscillations and resonances between coupled Bose-Einstein condensates with time-dependent trapping potential |
author |
Abdullaev, F. Kh. [UNESP] |
author_facet |
Abdullaev, F. Kh. [UNESP] Kraenkel, R. A. [UNESP] |
author_role |
author |
author2 |
Kraenkel, R. A. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Uzbek Academy of Sciences Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Abdullaev, F. Kh. [UNESP] Kraenkel, R. A. [UNESP] |
description |
We study the quantum coherent tunneling between two Bose-Einstein condensates separated through an oscillating trap potential. The cases of slow and rapid varying in the time trap potential are considered. In the case of a slowly varying trap, we study the nonlinear resonances and chaos in the oscillations of the relative atomic population. Using the Melnikov function approach, we find the conditions for chaotic macroscopic quantum-tunneling phenomena to exist. Criteria for the onset of chaos are also given. We find the values of frequency and modulation amplitude which lead to chaos on oscillations in the relative population, for any given damping and the nonlinear atomic interaction. In the case of a rapidly varying trap, we use the multiscale expansion method in the parameter [Formula Presented] where Ω is the frequency of modulations, and we derive the averaged system of equations for the modes. The analysis of this system shows that new macroscopic quantum self-trapping regions, in comparison with the constant trap case, exist. © 2000 The American Physical Society. |
publishDate |
2000 |
dc.date.none.fl_str_mv |
2000-01-01 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.62.023613 Physical Review A - Atomic, Molecular, and Optical Physics, v. 62, n. 2, p. 9-, 2000. 1094-1622 1050-2947 http://hdl.handle.net/11449/228451 10.1103/PhysRevA.62.023613 2-s2.0-85037211772 |
url |
http://dx.doi.org/10.1103/PhysRevA.62.023613 http://hdl.handle.net/11449/228451 |
identifier_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics, v. 62, n. 2, p. 9-, 2000. 1094-1622 1050-2947 10.1103/PhysRevA.62.023613 2-s2.0-85037211772 |
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 |
9 |
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_ |
1808128331925684224 |