Interacting fermions in quasi-one-dimensional harmonic traps

TL;DR

This paper investigates the ground-state properties and collective excitations of two-component Fermi gases in elongated harmonic traps, predicting a molecular Tonks-Girardeau phase for strong attraction and analyzing breathing mode frequencies across interaction regimes.

Contribution

It provides a comprehensive analysis of quasi-1d Fermi gases with arbitrary interactions, including the prediction of a molecular Tonks-Girardeau phase and calculation of breathing mode frequencies.

Findings

Existence of a molecular Tonks-Girardeau gas for strong attractive interactions

Breathing mode frequency dependence on interaction strength

Characterization of ground-state properties across interaction regimes

Abstract

Quasi-one-dimensional (quasi-1d) two-component Fermi gases with effectively attractive and repulsive interactions are characterized for arbitrary interaction strength. The ground-state properties of the gas confined in highly elongated harmonic traps are determined within the local density approximation. For strong attractive effective interactions the existence of a molecular Tonks-Girardeau gas is predicted. The frequency of the lowest breathing mode is calculated as a function of the coupling strength for both attractive and repulsive interactions.