Superfluid Thomas - Fermi approximation for trapped fermi gases

Autores
Hernndez, S.; Capuzzi, P.; Szybisz, L.
Año de publicación
2009
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
We present a generalization of fermionic fluiddynamics to the case of two trapped fermion species with a contact interaction. Within a mean field approximation, we derive coupled equations of motion for the particle densities, particle currents, and anomalous pair density. For an inhomogeneous system, the equilibrium situation with vanishing currents is described by a generalized Thomas-Fermi relation that includes the superfluid gap, together with a new nonlocal gap equation that replaces the usual BCS one. These equations are numericaly solved resorting to a local density approximation (LDA). Density and gap profiles are analyzed in terms of the scattering length, revealing that the current frame can exhibit microscopic details of quantum origin that are frequently absent in more macroscopic scenarios. © 2009 IOP Publishing Ltd.
Fil:Capuzzi, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Szybisz, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
J. Phys. Conf. Ser. 2009;150(3)
Materia
Electron gas
Equations of motion
Fermions
Contact interaction
Inhomogeneous system
Mean field approximation
Particle currents
Particle densities
Scattering length
Thomas-Fermi approximation
Trapped fermi gas
Local density approximation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_17426588_v150_n3_p_Hernndez
Acceder
id BDUBAFCEN_4c845c6e05b30a7d668b3f64f1da793e
oai_identifier_str paperaa:paper_17426588_v150_n3_p_Hernndez
network_acronym_str BDUBAFCEN
repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling Superfluid Thomas - Fermi approximation for trapped fermi gasesHernndez, S.Capuzzi, P.Szybisz, L.Electron gasEquations of motionFermionsContact interactionInhomogeneous systemMean field approximationParticle currentsParticle densitiesScattering lengthThomas-Fermi approximationTrapped fermi gasLocal density approximationWe present a generalization of fermionic fluiddynamics to the case of two trapped fermion species with a contact interaction. Within a mean field approximation, we derive coupled equations of motion for the particle densities, particle currents, and anomalous pair density. For an inhomogeneous system, the equilibrium situation with vanishing currents is described by a generalized Thomas-Fermi relation that includes the superfluid gap, together with a new nonlocal gap equation that replaces the usual BCS one. These equations are numericaly solved resorting to a local density approximation (LDA). Density and gap profiles are analyzed in terms of the scattering length, revealing that the current frame can exhibit microscopic details of quantum origin that are frequently absent in more macroscopic scenarios. © 2009 IOP Publishing Ltd.Fil:Capuzzi, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.Fil:Szybisz, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2009info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_17426588_v150_n3_p_HernndezJ. Phys. Conf. Ser. 2009;150(3)reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-09-29T13:42:52Zpaperaa:paper_17426588_v150_n3_p_HernndezInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-09-29 13:42:53.333Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Superfluid Thomas - Fermi approximation for trapped fermi gases
title Superfluid Thomas - Fermi approximation for trapped fermi gases
spellingShingle Superfluid Thomas - Fermi approximation for trapped fermi gases
Hernndez, S.
Electron gas
Equations of motion
Fermions
Contact interaction
Inhomogeneous system
Mean field approximation
Particle currents
Particle densities
Scattering length
Thomas-Fermi approximation
Trapped fermi gas
Local density approximation
title_short Superfluid Thomas - Fermi approximation for trapped fermi gases
title_full Superfluid Thomas - Fermi approximation for trapped fermi gases
title_fullStr Superfluid Thomas - Fermi approximation for trapped fermi gases
title_full_unstemmed Superfluid Thomas - Fermi approximation for trapped fermi gases
title_sort Superfluid Thomas - Fermi approximation for trapped fermi gases
dc.creator.none.fl_str_mv Hernndez, S.
Capuzzi, P.
Szybisz, L.
author Hernndez, S.
author_facet Hernndez, S.
Capuzzi, P.
Szybisz, L.
author_role author
author2 Capuzzi, P.
Szybisz, L.
author2_role author
author
dc.subject.none.fl_str_mv Electron gas
Equations of motion
Fermions
Contact interaction
Inhomogeneous system
Mean field approximation
Particle currents
Particle densities
Scattering length
Thomas-Fermi approximation
Trapped fermi gas
Local density approximation
topic Electron gas
Equations of motion
Fermions
Contact interaction
Inhomogeneous system
Mean field approximation
Particle currents
Particle densities
Scattering length
Thomas-Fermi approximation
Trapped fermi gas
Local density approximation
dc.description.none.fl_txt_mv We present a generalization of fermionic fluiddynamics to the case of two trapped fermion species with a contact interaction. Within a mean field approximation, we derive coupled equations of motion for the particle densities, particle currents, and anomalous pair density. For an inhomogeneous system, the equilibrium situation with vanishing currents is described by a generalized Thomas-Fermi relation that includes the superfluid gap, together with a new nonlocal gap equation that replaces the usual BCS one. These equations are numericaly solved resorting to a local density approximation (LDA). Density and gap profiles are analyzed in terms of the scattering length, revealing that the current frame can exhibit microscopic details of quantum origin that are frequently absent in more macroscopic scenarios. © 2009 IOP Publishing Ltd.
Fil:Capuzzi, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Szybisz, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
description We present a generalization of fermionic fluiddynamics to the case of two trapped fermion species with a contact interaction. Within a mean field approximation, we derive coupled equations of motion for the particle densities, particle currents, and anomalous pair density. For an inhomogeneous system, the equilibrium situation with vanishing currents is described by a generalized Thomas-Fermi relation that includes the superfluid gap, together with a new nonlocal gap equation that replaces the usual BCS one. These equations are numericaly solved resorting to a local density approximation (LDA). Density and gap profiles are analyzed in terms of the scattering length, revealing that the current frame can exhibit microscopic details of quantum origin that are frequently absent in more macroscopic scenarios. © 2009 IOP Publishing Ltd.
publishDate 2009
dc.date.none.fl_str_mv 2009
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
format conferenceObject
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12110/paper_17426588_v150_n3_p_Hernndez
url http://hdl.handle.net/20.500.12110/paper_17426588_v150_n3_p_Hernndez
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv J. Phys. Conf. Ser. 2009;150(3)
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
_version_ 1844618734062272512
score 13.070432

Publicaciones similares