Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice

Autores
Calzetta, Esteban Adolfo; Hu, B.L.; Rey, Ana Maria
Año de publicación
2006
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site), targeting the critical regime of the Bose-Einstein-condensate superfluid-Mott-insulator transition. We focus on the computation of the one-body density matrix and its Fourier transform, the momentum distribution which is directly obtainable from "time-of-flight" measurements. The expected number of particles with zero momentum may be identified with the condensate population if it is close to the total number of particles. Our main result is an analytic expression for this observable, interpolating between the known results valid for the two regimes separately: the standard Bogoliubov approximation valid in the superfluid regime and the strong-coupling perturbation theory valid in the Mott regime. © 2006 The American Physical Society.
Fil: Calzetta, Esteban Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Hu, B.L.. University of Maryland; Estados Unidos
Fil: Rey, Ana Maria. University of Maryland; Estados Unidos. Harvard-Smithsonian Center for Astrophysics; Estados Unidos
Materia
Bose Einstein Condensates
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:11336/71840
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical latticeCalzetta, Esteban AdolfoHu, B.L.Rey, Ana MariaBose Einstein Condensateshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We present an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site), targeting the critical regime of the Bose-Einstein-condensate superfluid-Mott-insulator transition. We focus on the computation of the one-body density matrix and its Fourier transform, the momentum distribution which is directly obtainable from "time-of-flight" measurements. The expected number of particles with zero momentum may be identified with the condensate population if it is close to the total number of particles. Our main result is an analytic expression for this observable, interpolating between the known results valid for the two regimes separately: the standard Bogoliubov approximation valid in the superfluid regime and the strong-coupling perturbation theory valid in the Mott regime. © 2006 The American Physical Society.Fil: Calzetta, Esteban Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Hu, B.L.. University of Maryland; Estados UnidosFil: Rey, Ana Maria. University of Maryland; Estados Unidos. Harvard-Smithsonian Center for Astrophysics; Estados UnidosAmerican Physical Society2006-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/71840Calzetta, Esteban Adolfo; Hu, B.L.; Rey, Ana Maria; Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 73; 2; 12-2006; 1-181050-2947CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.73.023610info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:08:01Zoai:ri.conicet.gov.ar:11336/71840instacron: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:34982025-10-15 15:08:02.265CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice
title Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice
spellingShingle Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice
Calzetta, Esteban Adolfo
Bose Einstein Condensates
title_short Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice
title_full Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice
title_fullStr Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice
title_full_unstemmed Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice
title_sort Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice
dc.creator.none.fl_str_mv Calzetta, Esteban Adolfo
Hu, B.L.
Rey, Ana Maria
author Calzetta, Esteban Adolfo
author_facet Calzetta, Esteban Adolfo
Hu, B.L.
Rey, Ana Maria
author_role author
author2 Hu, B.L.
Rey, Ana Maria
author2_role author
author
dc.subject.none.fl_str_mv Bose Einstein Condensates
topic Bose Einstein Condensates
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 present an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site), targeting the critical regime of the Bose-Einstein-condensate superfluid-Mott-insulator transition. We focus on the computation of the one-body density matrix and its Fourier transform, the momentum distribution which is directly obtainable from "time-of-flight" measurements. The expected number of particles with zero momentum may be identified with the condensate population if it is close to the total number of particles. Our main result is an analytic expression for this observable, interpolating between the known results valid for the two regimes separately: the standard Bogoliubov approximation valid in the superfluid regime and the strong-coupling perturbation theory valid in the Mott regime. © 2006 The American Physical Society.
Fil: Calzetta, Esteban Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Hu, B.L.. University of Maryland; Estados Unidos
Fil: Rey, Ana Maria. University of Maryland; Estados Unidos. Harvard-Smithsonian Center for Astrophysics; Estados Unidos
description We present an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site), targeting the critical regime of the Bose-Einstein-condensate superfluid-Mott-insulator transition. We focus on the computation of the one-body density matrix and its Fourier transform, the momentum distribution which is directly obtainable from "time-of-flight" measurements. The expected number of particles with zero momentum may be identified with the condensate population if it is close to the total number of particles. Our main result is an analytic expression for this observable, interpolating between the known results valid for the two regimes separately: the standard Bogoliubov approximation valid in the superfluid regime and the strong-coupling perturbation theory valid in the Mott regime. © 2006 The American Physical Society.
publishDate 2006
dc.date.none.fl_str_mv 2006-12
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/11336/71840
Calzetta, Esteban Adolfo; Hu, B.L.; Rey, Ana Maria; Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 73; 2; 12-2006; 1-18
1050-2947
CONICET Digital
CONICET
url http://hdl.handle.net/11336/71840
identifier_str_mv Calzetta, Esteban Adolfo; Hu, B.L.; Rey, Ana Maria; Bose-Einstein-condensate superfluid-Mott-insulator transition in an optical lattice; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 73; 2; 12-2006; 1-18
1050-2947
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.73.023610
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 13.22299

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