Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trap

Autores
Ermann, Leonardo; Vergini, Eduardo; Shepelyansky, Dima L.
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study numerically the evolution of Bose-Einstein condensate in the Sinai-oscillator trap described by the Gross-Pitaevskii equation in two dimensions. In the absence of interactions, this trap mimics the properties of Sinai billiards where the classical dynamics is chaotic and the quantum evolution is described by generic properties of quantum chaos and random matrix theory. We show that, above a certain border, the nonlinear interactions between atoms lead to the emergence of dynamical thermalization which generates the statistical Bose-Einstein distribution over eigenmodes of the system without interactions. Below the thermalization border, the evolution remains quasi-integrable. Such a Sinai-oscillator trap, formed by the oscillator potential and a repulsive disk located in the vicinity of the center, had been already realized in first experiments with the Bose-Einstein condensate formation by Ketterle group in 1995 and we argue that it can form a convenient test bed for experimental investigations of dynamical of thermalization. Possible links and implications for Kolmogorov turbulence in absence of noise are also discussed.
Fil: Ermann, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; Argentina
Fil: Vergini, Eduardo. Comisión Nacional de Energía Atómica; Argentina
Fil: Shepelyansky, Dima L.. Universite de Toulouse; Francia. Centre National de la Recherche Scientifique; Francia
Materia
QUANTUM SYSTEM
BOSE-EINSTEIN CONDENSATE
THERMALIZATION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/53109
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trapErmann, LeonardoVergini, EduardoShepelyansky, Dima L.QUANTUM SYSTEMBOSE-EINSTEIN CONDENSATETHERMALIZATIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study numerically the evolution of Bose-Einstein condensate in the Sinai-oscillator trap described by the Gross-Pitaevskii equation in two dimensions. In the absence of interactions, this trap mimics the properties of Sinai billiards where the classical dynamics is chaotic and the quantum evolution is described by generic properties of quantum chaos and random matrix theory. We show that, above a certain border, the nonlinear interactions between atoms lead to the emergence of dynamical thermalization which generates the statistical Bose-Einstein distribution over eigenmodes of the system without interactions. Below the thermalization border, the evolution remains quasi-integrable. Such a Sinai-oscillator trap, formed by the oscillator potential and a repulsive disk located in the vicinity of the center, had been already realized in first experiments with the Bose-Einstein condensate formation by Ketterle group in 1995 and we argue that it can form a convenient test bed for experimental investigations of dynamical of thermalization. Possible links and implications for Kolmogorov turbulence in absence of noise are also discussed.Fil: Ermann, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; ArgentinaFil: Vergini, Eduardo. Comisión Nacional de Energía Atómica; ArgentinaFil: Shepelyansky, Dima L.. Universite de Toulouse; Francia. Centre National de la Recherche Scientifique; FranciaAmerican Physical Society2016-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/53109Ermann, Leonardo; Vergini, Eduardo; Shepelyansky, Dima L.; Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trap; American Physical Society; Physical Review A; 94; 1; 7-2016; 13618-136282469-9934CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.94.013618info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.94.013618info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:58:39Zoai:ri.conicet.gov.ar:11336/53109instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:58:39.306CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trap
title Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trap
spellingShingle Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trap
Ermann, Leonardo
QUANTUM SYSTEM
BOSE-EINSTEIN CONDENSATE
THERMALIZATION
title_short Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trap
title_full Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trap
title_fullStr Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trap
title_full_unstemmed Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trap
title_sort Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trap
dc.creator.none.fl_str_mv Ermann, Leonardo
Vergini, Eduardo
Shepelyansky, Dima L.
author Ermann, Leonardo
author_facet Ermann, Leonardo
Vergini, Eduardo
Shepelyansky, Dima L.
author_role author
author2 Vergini, Eduardo
Shepelyansky, Dima L.
author2_role author
author
dc.subject.none.fl_str_mv QUANTUM SYSTEM
BOSE-EINSTEIN CONDENSATE
THERMALIZATION
topic QUANTUM SYSTEM
BOSE-EINSTEIN CONDENSATE
THERMALIZATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study numerically the evolution of Bose-Einstein condensate in the Sinai-oscillator trap described by the Gross-Pitaevskii equation in two dimensions. In the absence of interactions, this trap mimics the properties of Sinai billiards where the classical dynamics is chaotic and the quantum evolution is described by generic properties of quantum chaos and random matrix theory. We show that, above a certain border, the nonlinear interactions between atoms lead to the emergence of dynamical thermalization which generates the statistical Bose-Einstein distribution over eigenmodes of the system without interactions. Below the thermalization border, the evolution remains quasi-integrable. Such a Sinai-oscillator trap, formed by the oscillator potential and a repulsive disk located in the vicinity of the center, had been already realized in first experiments with the Bose-Einstein condensate formation by Ketterle group in 1995 and we argue that it can form a convenient test bed for experimental investigations of dynamical of thermalization. Possible links and implications for Kolmogorov turbulence in absence of noise are also discussed.
Fil: Ermann, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; Argentina
Fil: Vergini, Eduardo. Comisión Nacional de Energía Atómica; Argentina
Fil: Shepelyansky, Dima L.. Universite de Toulouse; Francia. Centre National de la Recherche Scientifique; Francia
description We study numerically the evolution of Bose-Einstein condensate in the Sinai-oscillator trap described by the Gross-Pitaevskii equation in two dimensions. In the absence of interactions, this trap mimics the properties of Sinai billiards where the classical dynamics is chaotic and the quantum evolution is described by generic properties of quantum chaos and random matrix theory. We show that, above a certain border, the nonlinear interactions between atoms lead to the emergence of dynamical thermalization which generates the statistical Bose-Einstein distribution over eigenmodes of the system without interactions. Below the thermalization border, the evolution remains quasi-integrable. Such a Sinai-oscillator trap, formed by the oscillator potential and a repulsive disk located in the vicinity of the center, had been already realized in first experiments with the Bose-Einstein condensate formation by Ketterle group in 1995 and we argue that it can form a convenient test bed for experimental investigations of dynamical of thermalization. Possible links and implications for Kolmogorov turbulence in absence of noise are also discussed.
publishDate 2016
dc.date.none.fl_str_mv 2016-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/53109
Ermann, Leonardo; Vergini, Eduardo; Shepelyansky, Dima L.; Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trap; American Physical Society; Physical Review A; 94; 1; 7-2016; 13618-13628
2469-9934
CONICET Digital
CONICET
url http://hdl.handle.net/11336/53109
identifier_str_mv Ermann, Leonardo; Vergini, Eduardo; Shepelyansky, Dima L.; Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trap; American Physical Society; Physical Review A; 94; 1; 7-2016; 13618-13628
2469-9934
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.94.013618
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.94.013618
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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