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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/94226
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T10:15:46Zoai: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:34982025-09-29 10:15:47.111CONICET 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/ |
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application/pdf application/pdf |
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American Physical Society |
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American Physical Society |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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