Low energy monopole Modes of a Trapped atomic Fermi Gas

TL;DR

This paper analyzes the low energy monopole modes of a trapped atomic Fermi gas, revealing how superfluidity affects the excitation spectrum and proposing experimental detection methods.

Contribution

It provides analytical and numerical insights into monopole modes across different coupling strengths, highlighting superfluid effects in trapped Fermi gases.

Findings

Superfluidity causes the energy to create Cooper molecules to vanish at a critical coupling.

Pair vibration excitations emerge with superfluidity.

Analytical results align well with numerical calculations.

Abstract

We consider the low energy collective monopole modes of a trapped weakly interacting atomic Fermi gas in the collisionless regime. The spectrum is calculated for varying coupling strength and chemical potential. Using an effective Hamiltonian, we derive analytical results that agree well with numerical calculations in various regimes. The onset of superfluidity is shown to lead to effects such as the vanishing of the energy required to create a Cooper molecule at a critical coupling strength and to the emergence of pair vibration excitations. Our analysis suggests ways to experimentally detect the presence of the superfluid phase in trapped atomic Fermi gases.