Pure pairing modes in trapped fermion systems

We present numerical predictions for the shape of the pairing fluctuations in harmonically trapped atomic 6Li with two spin projections, based on the fluiddynamical description of cold fermions with pairing interactions. In previous works it has been shown that when the equilibrium of a symmetric mi...

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Autores principales:	Capuzzi, Pablo, Hernández, Ester Susana, Szybisz, Leszek
Publicado:	2013
Materias:	Fermion superfluid Harmonic confinement Massive mode Pairing fluctuations Kinetic energy density Numerical predictions Particle kinetic energy Relaxation time scale Transport coefficient Heat flux Kinetic energy Kinetics Spin fluctuations Diffusion in liquids
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222291_v171_n3-4_p362_Capuzzi http://hdl.handle.net/20.500.12110/paper_00222291_v171_n3-4_p362_Capuzzi
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_00222291_v171_n3-4_p362_Capuzzi
record_format	dspace
spelling	paper:paper_00222291_v171_n3-4_p362_Capuzzi2023-06-08T14:47:31Z Pure pairing modes in trapped fermion systems Capuzzi, Pablo Hernández, Ester Susana Szybisz, Leszek Fermion superfluid Harmonic confinement Massive mode Pairing fluctuations Harmonic confinement Kinetic energy density Massive mode Numerical predictions Pairing fluctuations Particle kinetic energy Relaxation time scale Transport coefficient Heat flux Kinetic energy Kinetics Spin fluctuations Diffusion in liquids We present numerical predictions for the shape of the pairing fluctuations in harmonically trapped atomic 6Li with two spin projections, based on the fluiddynamical description of cold fermions with pairing interactions. In previous works it has been shown that when the equilibrium of a symmetric mixture is perturbed, the linearized fluiddynamic equations decouple into two sets, one containing the sound mode of fermion superfluids and the other the pairing mode. The latter corresponds to oscillations of the modulus of the complex gap and is driven by the kinetic energy densities of the particles and of the pairs. Assuming proportionality between the heat flux and the energy gradient, the particle kinetic energy undergoes a diffusive behavior and the diffusion parameter is the key parameter for the relaxation time scale. We examine a possible range of values for this parameter and find that the shape of the pairing oscillation is rather insensitive to the precise value of the transport coefficient. Moreover, the pairing fluctuation is largely confined to the center of the trap, and the energy of the pairing mode is consistent with the magnitude of the equilibrium gap. © Springer Science+Business Media, LLC 2012. 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. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222291_v171_n3-4_p362_Capuzzi http://hdl.handle.net/20.500.12110/paper_00222291_v171_n3-4_p362_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	Fermion superfluid Harmonic confinement Massive mode Pairing fluctuations Harmonic confinement Kinetic energy density Massive mode Numerical predictions Pairing fluctuations Particle kinetic energy Relaxation time scale Transport coefficient Heat flux Kinetic energy Kinetics Spin fluctuations Diffusion in liquids
spellingShingle	Fermion superfluid Harmonic confinement Massive mode Pairing fluctuations Harmonic confinement Kinetic energy density Massive mode Numerical predictions Pairing fluctuations Particle kinetic energy Relaxation time scale Transport coefficient Heat flux Kinetic energy Kinetics Spin fluctuations Diffusion in liquids Capuzzi, Pablo Hernández, Ester Susana Szybisz, Leszek Pure pairing modes in trapped fermion systems
topic_facet	Fermion superfluid Harmonic confinement Massive mode Pairing fluctuations Harmonic confinement Kinetic energy density Massive mode Numerical predictions Pairing fluctuations Particle kinetic energy Relaxation time scale Transport coefficient Heat flux Kinetic energy Kinetics Spin fluctuations Diffusion in liquids
description	We present numerical predictions for the shape of the pairing fluctuations in harmonically trapped atomic 6Li with two spin projections, based on the fluiddynamical description of cold fermions with pairing interactions. In previous works it has been shown that when the equilibrium of a symmetric mixture is perturbed, the linearized fluiddynamic equations decouple into two sets, one containing the sound mode of fermion superfluids and the other the pairing mode. The latter corresponds to oscillations of the modulus of the complex gap and is driven by the kinetic energy densities of the particles and of the pairs. Assuming proportionality between the heat flux and the energy gradient, the particle kinetic energy undergoes a diffusive behavior and the diffusion parameter is the key parameter for the relaxation time scale. We examine a possible range of values for this parameter and find that the shape of the pairing oscillation is rather insensitive to the precise value of the transport coefficient. Moreover, the pairing fluctuation is largely confined to the center of the trap, and the energy of the pairing mode is consistent with the magnitude of the equilibrium gap. © Springer Science+Business Media, LLC 2012.
author	Capuzzi, Pablo Hernández, Ester Susana Szybisz, Leszek
author_facet	Capuzzi, Pablo Hernández, Ester Susana Szybisz, Leszek
author_sort	Capuzzi, Pablo
title	Pure pairing modes in trapped fermion systems
title_short	Pure pairing modes in trapped fermion systems
title_full	Pure pairing modes in trapped fermion systems
title_fullStr	Pure pairing modes in trapped fermion systems
title_full_unstemmed	Pure pairing modes in trapped fermion systems
title_sort	pure pairing modes in trapped fermion systems
publishDate	2013
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222291_v171_n3-4_p362_Capuzzi http://hdl.handle.net/20.500.12110/paper_00222291_v171_n3-4_p362_Capuzzi
work_keys_str_mv	AT capuzzipablo purepairingmodesintrappedfermionsystems AT hernandezestersusana purepairingmodesintrappedfermionsystems AT szybiszleszek purepairingmodesintrappedfermionsystems
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Pure pairing modes in trapped fermion systems

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