Interacting fermions in quasi-one-dimensional harmonic traps
arXiv:cond-mat/0312538 · doi:10.1103/PhysRevLett.93.050402
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.
4 pages, 4 figures