Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium

Autores
Ermann, Leonardo; Vergini, Eduardo Germán; Shepelyansky, Dima L
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study numerically the wave function evolution of a Bose-Einstein condensate in a Bunimovich stadium billiard being governed by the Gross-Pitaevskii equation. We show that for a moderate nonlinearity, above a certain threshold, there is emergence of dynamical thermalization which leads to the Bose-Einstein probability distribution over the linear eigenmodes of the stadium. This distribution is drastically different from the energy equipartition over oscillator degrees of freedom which would lead to the ultra-violet catastrophe. We argue that this interesting phenomenon can be studied in cold-atom experiments.
Fil: Ermann, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes. Gerencia de Investigación y Aplicaciones; Argentina
Fil: Vergini, Eduardo Germán. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes. Gerencia de Investigación y Aplicaciones; Argentina
Fil: Shepelyansky, Dima L. Centre National de la Recherche Scientifique; Francia. Université Paul Sabatier; Francia
Materia
NONLINEAR DYNAMICS AND CHAOS
QUANTUM CHAOS
SEMICLASSICAL METHODS
BOSE-EINSTEIN CONDENSATES IN OPTICAL POTENTIALS
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:11336/97367
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadiumErmann, LeonardoVergini, Eduardo GermánShepelyansky, Dima LNONLINEAR DYNAMICS AND CHAOSQUANTUM CHAOSSEMICLASSICAL METHODSBOSE-EINSTEIN CONDENSATES IN OPTICAL POTENTIALShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study numerically the wave function evolution of a Bose-Einstein condensate in a Bunimovich stadium billiard being governed by the Gross-Pitaevskii equation. We show that for a moderate nonlinearity, above a certain threshold, there is emergence of dynamical thermalization which leads to the Bose-Einstein probability distribution over the linear eigenmodes of the stadium. This distribution is drastically different from the energy equipartition over oscillator degrees of freedom which would lead to the ultra-violet catastrophe. We argue that this interesting phenomenon can be studied in cold-atom experiments.Fil: Ermann, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes. Gerencia de Investigación y Aplicaciones; ArgentinaFil: Vergini, Eduardo Germán. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes. Gerencia de Investigación y Aplicaciones; ArgentinaFil: Shepelyansky, Dima L. Centre National de la Recherche Scientifique; Francia. Université Paul Sabatier; FranciaIOP Publishing2015-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/97367Ermann, Leonardo; Vergini, Eduardo Germán; Shepelyansky, Dima L; Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium; IOP Publishing; Europhysics Letters; 111; 5; 9-2015; 1-7; 500090295-5075CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1209/0295-5075/111/50009info:eu-repo/semantics/altIdentifier/doi/10.1209/0295-5075/111/50009info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-26T08:58:02Zoai:ri.conicet.gov.ar:11336/97367instacron: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:34982025-11-26 08:58:02.976CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium
title Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium
spellingShingle Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium
Ermann, Leonardo
NONLINEAR DYNAMICS AND CHAOS
QUANTUM CHAOS
SEMICLASSICAL METHODS
BOSE-EINSTEIN CONDENSATES IN OPTICAL POTENTIALS
title_short Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium
title_full Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium
title_fullStr Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium
title_full_unstemmed Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium
title_sort Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium
dc.creator.none.fl_str_mv Ermann, Leonardo
Vergini, Eduardo Germán
Shepelyansky, Dima L
author Ermann, Leonardo
author_facet Ermann, Leonardo
Vergini, Eduardo Germán
Shepelyansky, Dima L
author_role author
author2 Vergini, Eduardo Germán
Shepelyansky, Dima L
author2_role author
author
dc.subject.none.fl_str_mv NONLINEAR DYNAMICS AND CHAOS
QUANTUM CHAOS
SEMICLASSICAL METHODS
BOSE-EINSTEIN CONDENSATES IN OPTICAL POTENTIALS
topic NONLINEAR DYNAMICS AND CHAOS
QUANTUM CHAOS
SEMICLASSICAL METHODS
BOSE-EINSTEIN CONDENSATES IN OPTICAL POTENTIALS
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 wave function evolution of a Bose-Einstein condensate in a Bunimovich stadium billiard being governed by the Gross-Pitaevskii equation. We show that for a moderate nonlinearity, above a certain threshold, there is emergence of dynamical thermalization which leads to the Bose-Einstein probability distribution over the linear eigenmodes of the stadium. This distribution is drastically different from the energy equipartition over oscillator degrees of freedom which would lead to the ultra-violet catastrophe. We argue that this interesting phenomenon can be studied in cold-atom experiments.
Fil: Ermann, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes. Gerencia de Investigación y Aplicaciones; Argentina
Fil: Vergini, Eduardo Germán. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes. Gerencia de Investigación y Aplicaciones; Argentina
Fil: Shepelyansky, Dima L. Centre National de la Recherche Scientifique; Francia. Université Paul Sabatier; Francia
description We study numerically the wave function evolution of a Bose-Einstein condensate in a Bunimovich stadium billiard being governed by the Gross-Pitaevskii equation. We show that for a moderate nonlinearity, above a certain threshold, there is emergence of dynamical thermalization which leads to the Bose-Einstein probability distribution over the linear eigenmodes of the stadium. This distribution is drastically different from the energy equipartition over oscillator degrees of freedom which would lead to the ultra-violet catastrophe. We argue that this interesting phenomenon can be studied in cold-atom experiments.
publishDate 2015
dc.date.none.fl_str_mv 2015-09
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/11336/97367
Ermann, Leonardo; Vergini, Eduardo Germán; Shepelyansky, Dima L; Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium; IOP Publishing; Europhysics Letters; 111; 5; 9-2015; 1-7; 50009
0295-5075
CONICET Digital
CONICET
url http://hdl.handle.net/11336/97367
identifier_str_mv Ermann, Leonardo; Vergini, Eduardo Germán; Shepelyansky, Dima L; Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium; IOP Publishing; Europhysics Letters; 111; 5; 9-2015; 1-7; 50009
0295-5075
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1209/0295-5075/111/50009
info:eu-repo/semantics/altIdentifier/doi/10.1209/0295-5075/111/50009
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 IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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 13.011256

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