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: JOUR
Materias:
Collective spectrum
Fermion superfluid
Moment hierarchy
Low temperature engineering
Low temperature phenomena
Physics
Coordinate representations
Equation of state
Equilibrium profiles
Numerical results
Pairing interactions
Random phase approximations
Equations of state
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00222291_v166_n5-6_p242_Capuzzi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00222291_v166_n5-6_p242_Capuzzi
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spelling todo:paper_00222291_v166_n5-6_p242_Capuzzi2023-10-03T14:28:40Z Cold fermions with pairing interactions: New results based on fluiddynamical descriptions Capuzzi, P. Hernández, E.S. Szybisz, L. Collective spectrum Fermion superfluid Moment hierarchy Low temperature engineering Low temperature phenomena Physics Collective spectrum Coordinate representations Equation of state Equilibrium profiles Moment hierarchy Numerical results Pairing interactions Random phase approximations Equations of state 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. © Springer Science+Business Media, LLC 2011. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00222291_v166_n5-6_p242_Capuzzi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Collective spectrum
Fermion superfluid
Moment hierarchy
Low temperature engineering
Low temperature phenomena
Physics
Collective spectrum
Coordinate representations
Equation of state
Equilibrium profiles
Moment hierarchy
Numerical results
Pairing interactions
Random phase approximations
Equations of state
spellingShingle Collective spectrum
Fermion superfluid
Moment hierarchy
Low temperature engineering
Low temperature phenomena
Physics
Collective spectrum
Coordinate representations
Equation of state
Equilibrium profiles
Moment hierarchy
Numerical results
Pairing interactions
Random phase approximations
Equations of state
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
Low temperature engineering
Low temperature phenomena
Physics
Collective spectrum
Coordinate representations
Equation of state
Equilibrium profiles
Moment hierarchy
Numerical results
Pairing interactions
Random phase approximations
Equations of state
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. © Springer Science+Business Media, LLC 2011.
format JOUR
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_v166_n5-6_p242_Capuzzi
work_keys_str_mv AT capuzzip coldfermionswithpairinginteractionsnewresultsbasedonfluiddynamicaldescriptions
AT hernandezes coldfermionswithpairinginteractionsnewresultsbasedonfluiddynamicaldescriptions
AT szybiszl coldfermionswithpairinginteractionsnewresultsbasedonfluiddynamicaldescriptions
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