Parity effect in a mesoscopic Fermi gas

Autores
Hofmann, Johannes; Lobos, Alejandro Martin; Galitski, Victor
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We develop a quantitative analytic theory that accurately describes the odd-even effect observed experimentally in a one-dimensional, trapped Fermi gas with a small number of particles [G. Zürn, Phys. Rev. Lett. 111, 175302 (2013)PRLTAO0031-900710.1103/PhysRevLett.111.175302]. We find that the underlying physics is similar to the parity effect known to exist in ultrasmall mesoscopic superconducting grains and atomic nuclei. However, in contrast to superconducting nanograins, the density (Hartree) correction dominates over the superconducting pairing fluctuations and leads to a much more pronounced odd-even effect in the mesoscopic, trapped Fermi gas. We calculate the corresponding parity parameter and separation energy using both perturbation theory and a path integral framework in the mesoscopic limit, generalized to account for the effects of the trap, pairing fluctuations, and Hartree corrections. Our results are in an excellent quantitative agreement with experimental data and exact diagonalization. Finally, we discuss a few-particle to many-particle crossover between the perturbative mesoscopic regime and nonperturbative many-body physics that the system approaches in the thermodynamic limit.
Fil: Hofmann, Johannes. University of Maryland; Estados Unidos
Fil: Lobos, Alejandro Martin. University of Maryland; Estados Unidos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina
Fil: Galitski, Victor. Monash University; Australia. University of Maryland; Estados Unidos
Materia
Degenerate Ultracold Fermi Gases
Superfluidity in small systems
Parity Effect
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:11336/94226
Acceder
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spelling Parity effect in a mesoscopic Fermi gasHofmann, JohannesLobos, Alejandro MartinGalitski, VictorDegenerate Ultracold Fermi GasesSuperfluidity in small systemsParity Effecthttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We develop a quantitative analytic theory that accurately describes the odd-even effect observed experimentally in a one-dimensional, trapped Fermi gas with a small number of particles [G. Zürn, Phys. Rev. Lett. 111, 175302 (2013)PRLTAO0031-900710.1103/PhysRevLett.111.175302]. We find that the underlying physics is similar to the parity effect known to exist in ultrasmall mesoscopic superconducting grains and atomic nuclei. However, in contrast to superconducting nanograins, the density (Hartree) correction dominates over the superconducting pairing fluctuations and leads to a much more pronounced odd-even effect in the mesoscopic, trapped Fermi gas. We calculate the corresponding parity parameter and separation energy using both perturbation theory and a path integral framework in the mesoscopic limit, generalized to account for the effects of the trap, pairing fluctuations, and Hartree corrections. Our results are in an excellent quantitative agreement with experimental data and exact diagonalization. Finally, we discuss a few-particle to many-particle crossover between the perturbative mesoscopic regime and nonperturbative many-body physics that the system approaches in the thermodynamic limit.Fil: Hofmann, Johannes. University of Maryland; Estados UnidosFil: Lobos, Alejandro Martin. University of Maryland; Estados Unidos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; ArgentinaFil: Galitski, Victor. Monash University; Australia. University of Maryland; Estados UnidosAmerican Physical Society2016-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/94226Hofmann, Johannes; Lobos, Alejandro Martin; Galitski, Victor; Parity effect in a mesoscopic Fermi gas; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 93; 6; 6-2016; 61602-6160131050-29472469-9934CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.93.061602info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.93.061602info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:45:57Zoai:ri.conicet.gov.ar:11336/94226instacron: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 11:45:57.591CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Parity effect in a mesoscopic Fermi gas
title Parity effect in a mesoscopic Fermi gas
spellingShingle Parity effect in a mesoscopic Fermi gas
Hofmann, Johannes
Degenerate Ultracold Fermi Gases
Superfluidity in small systems
Parity Effect
title_short Parity effect in a mesoscopic Fermi gas
title_full Parity effect in a mesoscopic Fermi gas
title_fullStr Parity effect in a mesoscopic Fermi gas
title_full_unstemmed Parity effect in a mesoscopic Fermi gas
title_sort Parity effect in a mesoscopic Fermi gas
dc.creator.none.fl_str_mv Hofmann, Johannes
Lobos, Alejandro Martin
Galitski, Victor
author Hofmann, Johannes
author_facet Hofmann, Johannes
Lobos, Alejandro Martin
Galitski, Victor
author_role author
author2 Lobos, Alejandro Martin
Galitski, Victor
author2_role author
author
dc.subject.none.fl_str_mv Degenerate Ultracold Fermi Gases
Superfluidity in small systems
Parity Effect
topic Degenerate Ultracold Fermi Gases
Superfluidity in small systems
Parity Effect
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 develop a quantitative analytic theory that accurately describes the odd-even effect observed experimentally in a one-dimensional, trapped Fermi gas with a small number of particles [G. Zürn, Phys. Rev. Lett. 111, 175302 (2013)PRLTAO0031-900710.1103/PhysRevLett.111.175302]. We find that the underlying physics is similar to the parity effect known to exist in ultrasmall mesoscopic superconducting grains and atomic nuclei. However, in contrast to superconducting nanograins, the density (Hartree) correction dominates over the superconducting pairing fluctuations and leads to a much more pronounced odd-even effect in the mesoscopic, trapped Fermi gas. We calculate the corresponding parity parameter and separation energy using both perturbation theory and a path integral framework in the mesoscopic limit, generalized to account for the effects of the trap, pairing fluctuations, and Hartree corrections. Our results are in an excellent quantitative agreement with experimental data and exact diagonalization. Finally, we discuss a few-particle to many-particle crossover between the perturbative mesoscopic regime and nonperturbative many-body physics that the system approaches in the thermodynamic limit.
Fil: Hofmann, Johannes. University of Maryland; Estados Unidos
Fil: Lobos, Alejandro Martin. University of Maryland; Estados Unidos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina
Fil: Galitski, Victor. Monash University; Australia. University of Maryland; Estados Unidos
description We develop a quantitative analytic theory that accurately describes the odd-even effect observed experimentally in a one-dimensional, trapped Fermi gas with a small number of particles [G. Zürn, Phys. Rev. Lett. 111, 175302 (2013)PRLTAO0031-900710.1103/PhysRevLett.111.175302]. We find that the underlying physics is similar to the parity effect known to exist in ultrasmall mesoscopic superconducting grains and atomic nuclei. However, in contrast to superconducting nanograins, the density (Hartree) correction dominates over the superconducting pairing fluctuations and leads to a much more pronounced odd-even effect in the mesoscopic, trapped Fermi gas. We calculate the corresponding parity parameter and separation energy using both perturbation theory and a path integral framework in the mesoscopic limit, generalized to account for the effects of the trap, pairing fluctuations, and Hartree corrections. Our results are in an excellent quantitative agreement with experimental data and exact diagonalization. Finally, we discuss a few-particle to many-particle crossover between the perturbative mesoscopic regime and nonperturbative many-body physics that the system approaches in the thermodynamic limit.
publishDate 2016
dc.date.none.fl_str_mv 2016-06
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/11336/94226
Hofmann, Johannes; Lobos, Alejandro Martin; Galitski, Victor; Parity effect in a mesoscopic Fermi gas; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 93; 6; 6-2016; 61602-616013
1050-2947
2469-9934
CONICET Digital
CONICET
url http://hdl.handle.net/11336/94226
identifier_str_mv Hofmann, Johannes; Lobos, Alejandro Martin; Galitski, Victor; Parity effect in a mesoscopic Fermi gas; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 93; 6; 6-2016; 61602-616013
1050-2947
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/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.93.061602
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.93.061602
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 12.982451

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