Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice

Autores
Jezek, Dora Marta; Cataldo, Horacio Maximo
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the population dynamics of a ring-shaped optical lattice with a high number of particles per site and a low (less than ten) number of wells. Using a localized on-site basis defined in terms of stationary states, we were able to construct a multiple-mode model depending on relevant hopping and on-site energy parameters. We show that in the case of two wells, our model corresponds exactly to a recent improvement of the two-mode model. We derive a formula for the self-trapping period, which turns out to be chiefly ruled by the on-site interaction energy parameter. By comparing to time-dependent Gross-Pitaevskii simulations, we show that the multimode model results can be enhanced in a remarkable way over all the regimes by only renormalizing such a parameter. Finally, using a different approach which involves only the ground-state density, we derive an effective interaction energy parameter that turns out to be in accordance with the renormalized one.
Fil: Jezek, Dora Marta. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires; Argentina
Fil: Cataldo, Horacio Maximo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires; Argentina
Materia
Multimode Model
Bose- Einstein Condensate
Optical Lattice
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:11336/2451
Acceder
id CONICETDig_c8475b5c59ef7ad0f308a608d7064866
oai_identifier_str oai:ri.conicet.gov.ar:11336/2451
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical latticeJezek, Dora MartaCataldo, Horacio MaximoMultimode ModelBose- Einstein CondensateOptical Latticehttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the population dynamics of a ring-shaped optical lattice with a high number of particles per site and a low (less than ten) number of wells. Using a localized on-site basis defined in terms of stationary states, we were able to construct a multiple-mode model depending on relevant hopping and on-site energy parameters. We show that in the case of two wells, our model corresponds exactly to a recent improvement of the two-mode model. We derive a formula for the self-trapping period, which turns out to be chiefly ruled by the on-site interaction energy parameter. By comparing to time-dependent Gross-Pitaevskii simulations, we show that the multimode model results can be enhanced in a remarkable way over all the regimes by only renormalizing such a parameter. Finally, using a different approach which involves only the ground-state density, we derive an effective interaction energy parameter that turns out to be in accordance with the renormalized one.Fil: Jezek, Dora Marta. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires; ArgentinaFil: Cataldo, Horacio Maximo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires; ArgentinaAmerican Physical Society2013-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/2451Jezek, Dora Marta; Cataldo, Horacio Maximo; Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 88; 1; 7-2013; 1-121050-2947enginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.88.013636info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1307.7694info:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/pra/abstract/10.1103/PhysRevA.88.013636info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:10:01Zoai:ri.conicet.gov.ar:11336/2451instacron: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:34982025-10-22 11:10:01.783CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice
title Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice
spellingShingle Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice
Jezek, Dora Marta
Multimode Model
Bose- Einstein Condensate
Optical Lattice
title_short Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice
title_full Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice
title_fullStr Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice
title_full_unstemmed Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice
title_sort Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice
dc.creator.none.fl_str_mv Jezek, Dora Marta
Cataldo, Horacio Maximo
author Jezek, Dora Marta
author_facet Jezek, Dora Marta
Cataldo, Horacio Maximo
author_role author
author2 Cataldo, Horacio Maximo
author2_role author
dc.subject.none.fl_str_mv Multimode Model
Bose- Einstein Condensate
Optical Lattice
topic Multimode Model
Bose- Einstein Condensate
Optical Lattice
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 the population dynamics of a ring-shaped optical lattice with a high number of particles per site and a low (less than ten) number of wells. Using a localized on-site basis defined in terms of stationary states, we were able to construct a multiple-mode model depending on relevant hopping and on-site energy parameters. We show that in the case of two wells, our model corresponds exactly to a recent improvement of the two-mode model. We derive a formula for the self-trapping period, which turns out to be chiefly ruled by the on-site interaction energy parameter. By comparing to time-dependent Gross-Pitaevskii simulations, we show that the multimode model results can be enhanced in a remarkable way over all the regimes by only renormalizing such a parameter. Finally, using a different approach which involves only the ground-state density, we derive an effective interaction energy parameter that turns out to be in accordance with the renormalized one.
Fil: Jezek, Dora Marta. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires; Argentina
Fil: Cataldo, Horacio Maximo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires; Argentina
description We study the population dynamics of a ring-shaped optical lattice with a high number of particles per site and a low (less than ten) number of wells. Using a localized on-site basis defined in terms of stationary states, we were able to construct a multiple-mode model depending on relevant hopping and on-site energy parameters. We show that in the case of two wells, our model corresponds exactly to a recent improvement of the two-mode model. We derive a formula for the self-trapping period, which turns out to be chiefly ruled by the on-site interaction energy parameter. By comparing to time-dependent Gross-Pitaevskii simulations, we show that the multimode model results can be enhanced in a remarkable way over all the regimes by only renormalizing such a parameter. Finally, using a different approach which involves only the ground-state density, we derive an effective interaction energy parameter that turns out to be in accordance with the renormalized one.
publishDate 2013
dc.date.none.fl_str_mv 2013-07
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/11336/2451
Jezek, Dora Marta; Cataldo, Horacio Maximo; Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 88; 1; 7-2013; 1-12
1050-2947
url http://hdl.handle.net/11336/2451
identifier_str_mv Jezek, Dora Marta; Cataldo, Horacio Maximo; Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 88; 1; 7-2013; 1-12
1050-2947
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.88.013636
info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1307.7694
info:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/pra/abstract/10.1103/PhysRevA.88.013636
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
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
_version_ 1846781456566714368
score 12.982451

Publicaciones similares