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Coupling of hydrodynamics and quasiparticle motion in collective modes of superfluid trapped Fermi gases

Abstract : At finite temperature, the hydrodynamic collective modes of superfluid trapped Fermi gases are coupled to the motion of the normal component, which in the BCS limit behaves like a collisionless normal Fermi gas. The coupling between the superfluid and the normal components is treated in the framework of a semiclassical transport theory for the quasiparticle distribution function, combined with a hydrodynamic equation for the collective motion of the superfluid component. We develop a numerical test-particle method for solving these equations in the linear response regime. As a first application we study the temperature dependence of the collective quadrupole mode of a Fermi gas in a spherical trap. The coupling between the superfluid collective motion and the quasiparticles leads to a rather strong damping of the hydrodynamic mode already at very low temperatures. At higher temperatures the spectrum has a two-peak structure, the second peak corresponding to the quadrupole mode in the normal phase.
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http://hal.in2p3.fr/in2p3-00120317
Contributor : Michael Urban <>
Submitted on : Tuesday, March 27, 2007 - 9:56:52 AM
Last modification on : Wednesday, September 16, 2020 - 4:07:56 PM
Long-term archiving on: : Tuesday, September 21, 2010 - 1:11:53 PM

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M. Urban. Coupling of hydrodynamics and quasiparticle motion in collective modes of superfluid trapped Fermi gases. Physical Review A, American Physical Society, 2007, 75, pp.053607. ⟨10.1103/PhysRevA.75.053607⟩. ⟨in2p3-00120317v2⟩

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