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, Pablo, Hernández, Ester Susana, Szybisz, Leszek
Publicado: 2011
Materias:
Collective spectrum
Fermion superfluid
Moment hierarchy
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222291_v_n_p1_Capuzzi
http://hdl.handle.net/20.500.12110/paper_00222291_v_n_p1_Capuzzi
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00222291_v_n_p1_Capuzzi
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spelling paper:paper_00222291_v_n_p1_Capuzzi2023-06-08T14:47:32Z Cold Fermions with Pairing Interactions: New Results Based on Fluiddynamical Descriptions Capuzzi, Pablo Hernández, Ester Susana Szybisz, Leszek 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. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222291_v_n_p1_Capuzzi 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)
topic Collective spectrum
Fermion superfluid
Moment hierarchy
spellingShingle Collective spectrum
Fermion superfluid
Moment hierarchy
Capuzzi, Pablo
Hernández, Ester Susana
Szybisz, Leszek
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.
author Capuzzi, Pablo
Hernández, Ester Susana
Szybisz, Leszek
author_facet Capuzzi, Pablo
Hernández, Ester Susana
Szybisz, Leszek
author_sort Capuzzi, Pablo
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
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222291_v_n_p1_Capuzzi
http://hdl.handle.net/20.500.12110/paper_00222291_v_n_p1_Capuzzi
work_keys_str_mv AT capuzzipablo coldfermionswithpairinginteractionsnewresultsbasedonfluiddynamicaldescriptions
AT hernandezestersusana coldfermionswithpairinginteractionsnewresultsbasedonfluiddynamicaldescriptions
AT szybiszleszek coldfermionswithpairinginteractionsnewresultsbasedonfluiddynamicaldescriptions
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