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

TL;DR

This paper investigates how the collective modes of superfluid trapped Fermi gases at finite temperature are influenced by the coupling between superfluid and normal components, using a semiclassical transport approach.

Contribution

It introduces a numerical method to study the coupling of hydrodynamics and quasiparticle motion in superfluid Fermi gases, revealing temperature-dependent damping and spectral features.

Findings

Strong damping of the collective mode at low temperatures.

Emergence of a two-peak spectrum at higher temperatures.

Coupling effects significantly modify the collective mode behavior.

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.