Cold Fermions with Pairing Interactions: New Results Based on Fluiddynamical Descriptions

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We present a rigorous derivation of the moment hierarchy of the density and pair density matrices of a two species fermion superfluid in coordinate representation. We discuss the tools to truncate at any desired level and present the derivation of the Extended Superfluid Thomas-Fermi (ESTF) fluiddyn...

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Autores principales:	Capuzzi, P., Hernández, E.S., Szybisz, L.
Formato:	INPR
Lenguaje:	English
Materias:	Collective spectrum Fermion superfluid Moment hierarchy
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00222291_v_n_p1_Capuzzi
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_00222291_v_n_p1_Capuzzi
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spelling	todo:paper_00222291_v_n_p1_Capuzzi2023-10-03T14:28:42Z Cold Fermions with Pairing Interactions: New Results Based on Fluiddynamical Descriptions Capuzzi, P. Hernández, E.S. Szybisz, L. Collective spectrum Fermion superfluid Moment hierarchy We present a rigorous derivation of the moment hierarchy of the density and pair density matrices of a two species fermion superfluid in coordinate representation. We discuss the tools to truncate at any desired level and present the derivation of the Extended Superfluid Thomas-Fermi (ESTF) fluiddynamical scheme. In order to establish the equation of state in equilibrium to be incorporated in the truncation, we extend the method of Papenbrock and Bertsch. We examine the dynamics of fluctuations in homogeneous fermion matter and show that it is consistent with the ordinary Random-Phase-approximation. We discuss some numerical results for equilibrium profiles and collective fluctuations of trapped cold gases. © 2011 Springer Science+Business Media, LLC. Fil:Capuzzi, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Hernández, E.S. 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. INPR English info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00222291_v_n_p1_Capuzzi
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language	English
orig_language_str_mv	English
topic	Collective spectrum Fermion superfluid Moment hierarchy
spellingShingle	Collective spectrum Fermion superfluid Moment hierarchy Capuzzi, P. Hernández, E.S. Szybisz, L. Cold Fermions with Pairing Interactions: New Results Based on Fluiddynamical Descriptions
topic_facet	Collective spectrum Fermion superfluid Moment hierarchy
description	We present a rigorous derivation of the moment hierarchy of the density and pair density matrices of a two species fermion superfluid in coordinate representation. We discuss the tools to truncate at any desired level and present the derivation of the Extended Superfluid Thomas-Fermi (ESTF) fluiddynamical scheme. In order to establish the equation of state in equilibrium to be incorporated in the truncation, we extend the method of Papenbrock and Bertsch. We examine the dynamics of fluctuations in homogeneous fermion matter and show that it is consistent with the ordinary Random-Phase-approximation. We discuss some numerical results for equilibrium profiles and collective fluctuations of trapped cold gases. © 2011 Springer Science+Business Media, LLC.
format	INPR
author	Capuzzi, P. Hernández, E.S. Szybisz, L.
author_facet	Capuzzi, P. Hernández, E.S. Szybisz, L.
author_sort	Capuzzi, P.
title	Cold Fermions with Pairing Interactions: New Results Based on Fluiddynamical Descriptions
title_short	Cold Fermions with Pairing Interactions: New Results Based on Fluiddynamical Descriptions
title_full	Cold Fermions with Pairing Interactions: New Results Based on Fluiddynamical Descriptions
title_fullStr	Cold Fermions with Pairing Interactions: New Results Based on Fluiddynamical Descriptions
title_full_unstemmed	Cold Fermions with Pairing Interactions: New Results Based on Fluiddynamical Descriptions
title_sort	cold fermions with pairing interactions: new results based on fluiddynamical descriptions
url	http://hdl.handle.net/20.500.12110/paper_00222291_v_n_p1_Capuzzi
work_keys_str_mv	AT capuzzip coldfermionswithpairinginteractionsnewresultsbasedonfluiddynamicaldescriptions AT hernandezes coldfermionswithpairinginteractionsnewresultsbasedonfluiddynamicaldescriptions AT szybiszl coldfermionswithpairinginteractionsnewresultsbasedonfluiddynamicaldescriptions
_version_	1807322573345652736

Cold Fermions with Pairing Interactions: New Results Based on Fluiddynamical Descriptions

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