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Collective Excitations of Trapped Superfluid Fermi Gases in a BCS-BEC Crossover with Arbitrary Atom Numbers

Collective Excitations of Trapped Superfluid Fermi Gases in a BCS-BEC Crossover with Arbitrary... We investigate the collective excitations of an axially-symmetric harmonically trapped superfluid Fermi gas in the BCS-BEC crossover, focusing on the dependence of the frequency of the collective modes on the atom number. Starting from a phenomenological equation of state valid for the whole BCS-BEC crossover regime and the time-dependent Gross-Pitaevskii equation of the condensed fermionic superfluid, we obtain analytically the chemical potential and ground-state wavefunction of the paired fermions with arbitrary atom numbers by use of variational method. We solve the generalized Bogoliubov-de Gennes equations numerically and discuss the properties of low-lying excitations when the system consists with Fermi atoms of several hundreds or thousands. Our numerical results reveal some new properties of the small system in the excited states. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Low Temperature Physics Springer Journals

Collective Excitations of Trapped Superfluid Fermi Gases in a BCS-BEC Crossover with Arbitrary Atom Numbers

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References (46)

Publisher
Springer Journals
Copyright
Copyright © 2008 by Springer Science+Business Media, LLC
Subject
Physics; Condensed Matter Physics; Characterization and Evaluation of Materials; Magnetism, Magnetic Materials
ISSN
0022-2291
eISSN
1573-7357
DOI
10.1007/s10909-008-9855-x
Publisher site
See Article on Publisher Site

Abstract

We investigate the collective excitations of an axially-symmetric harmonically trapped superfluid Fermi gas in the BCS-BEC crossover, focusing on the dependence of the frequency of the collective modes on the atom number. Starting from a phenomenological equation of state valid for the whole BCS-BEC crossover regime and the time-dependent Gross-Pitaevskii equation of the condensed fermionic superfluid, we obtain analytically the chemical potential and ground-state wavefunction of the paired fermions with arbitrary atom numbers by use of variational method. We solve the generalized Bogoliubov-de Gennes equations numerically and discuss the properties of low-lying excitations when the system consists with Fermi atoms of several hundreds or thousands. Our numerical results reveal some new properties of the small system in the excited states.

Journal

Journal of Low Temperature PhysicsSpringer Journals

Published: Dec 24, 2008

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