Collective dynamics of fermion clouds in cigar-shaped traps

TL;DR

This paper investigates the collective behavior of fermion clouds in elongated traps, analyzing zero sound propagation and density responses using local-density approximation and numerical Vlasov-Landau equations.

Contribution

It compares local-density and numerical Vlasov-Landau methods to study zero sound and density responses in trapped Fermi gases at finite temperature.

Findings

Good agreement between local-density and numerical results for zero sound propagation

Characterization of density response to localized perturbations in fermion clouds

Insights into collective excitations in cigar-shaped Fermi gases

Abstract

The propagation of zero sound in a spin-polarized Fermi gas under harmonic confinement is studied as a function of the mean-field interactions with a second Fermi gas. A local-density treatment is compared with the numerical solution of the Vlasov-Landau equations for the propagation of density distortions in a trapped two-component Fermi gas at temperature T=0.2 Tf. The response of the gas to the sudden creation of a sharp hole at its centre is also studied numerically.