Collective oscillations of a trapped Fermi gas near the unitary limit

TL;DR

This paper investigates the oscillation frequencies of a trapped Fermi gas near the unitary limit, confirming known results and extending the theory to include effects of interactions away from unitarity.

Contribution

It provides a theoretical extension of oscillation frequency calculations for Fermi gases beyond the unitary limit, highlighting interaction effects.

Findings

Frequencies are independent of interaction at the unitary limit.

Interaction influences compressional mode frequencies away from the unitary limit.

Confirmed Stringari's result on frequency independence at unitarity.

Abstract

We calculate the oscillation frequencies of trapped Fermi condensate with particular emphasis on the equation of state of the interacting Fermi system. We confirm Stringari's finding that the frequencies are independent of the interaction in the unitary limit, and we extend the theory away from that limit, where the interaction does affect the frequencies of the compressional modes only.