Superfluid Thomas - Fermi approximation for trapped fermi gases

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 syste...

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Detalles Bibliográficos
Autores principales:	Capuzzi, Pablo, Szybisz, Leszek
Publicado:	2009
Materias:	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
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v150_n3_p_Hernndez http://hdl.handle.net/20.500.12110/paper_17426588_v150_n3_p_Hernndez
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_17426588_v150_n3_p_Hernndez
record_format	dspace
spelling	paper:paper_17426588_v150_n3_p_Hernndez2023-06-08T16:27:10Z Superfluid Thomas - Fermi approximation for trapped fermi gases Capuzzi, Pablo Szybisz, Leszek 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 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. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v150_n3_p_Hernndez http://hdl.handle.net/20.500.12110/paper_17426588_v150_n3_p_Hernndez
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
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
spellingShingle	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 Capuzzi, Pablo Szybisz, Leszek Superfluid Thomas - Fermi approximation for trapped fermi gases
topic_facet	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
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.
author	Capuzzi, Pablo Szybisz, Leszek
author_facet	Capuzzi, Pablo Szybisz, Leszek
author_sort	Capuzzi, Pablo
title	Superfluid Thomas - Fermi approximation for trapped fermi gases
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
publishDate	2009
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v150_n3_p_Hernndez http://hdl.handle.net/20.500.12110/paper_17426588_v150_n3_p_Hernndez
work_keys_str_mv	AT capuzzipablo superfluidthomasfermiapproximationfortrappedfermigases AT szybiszleszek superfluidthomasfermiapproximationfortrappedfermigases
_version_	1768542958494154752

Superfluid Thomas - Fermi approximation for trapped fermi gases

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