Density profiles and density oscillations of an interacting three-component normal Fermi gas

TL;DR

This paper investigates how interactions and population imbalance affect density profiles and dipole oscillations in a three-component Fermi gas, revealing unique phenomena like density imbalance and donut-shaped profiles.

Contribution

It introduces a semiclassical approach to analyze density variations and oscillations in a three-component Fermi gas, highlighting effects absent in two-component systems.

Findings

Density profiles deviate significantly from non-interacting cases.

Density imbalance occurs even with balanced populations.

Certain parameters lead to a donut-shaped density profile.

Abstract

We use a semiclassical approximation to investigate density variations and dipole oscillations of an interacting three-component normal Fermi gas in a harmonic trap. We consider both attractive and repulsive interactions between different pairs of fermions and study the effect of population imbalance on densities. We find that the density profiles significantly deviate from those of non-interacting profiles and extremely sensitive to interactions and population imbalance. Unlike for a two-component Fermi system, we find density imbalance even for balanced populations. For some range of parameters, one component completely repels from the trap center giving rise a donut shape density profile. Further, we find that the in-phase dipole oscillation frequency is consistent with Kohn's theorem and other two dipole mode frequencies are strongly effected by the interactions and the number of atoms in the harmonic trap.