Interacting Fermions in Highly Elongated Harmonic Traps

2003/12/19 by G. E. Astrakharchik, D. Blume, S. Giorgini +2 · 4 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Harmonic #Harmonic potential #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #cond-mat.soft

paper · pdf · doi:10.1103/physrevlett.93.050402

4 pages, 4 figures

arxiv created 2003/12/19 · openalex publication_date 2004/07/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Quasi-one-dimensional 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.

Citations

• Exciting Collective Oscillations in a Trapped 1D Gas
• Emergence of a molecular Bose–Einstein condensate from a Fermi gas
• Observation of Bose-Einstein Condensation of Molecules

Cited by

• Dark-soliton-like excitations in the Yang–Gaudin gas of attractively interacting fermions
• Many interacting fermions in a one-dimensional harmonic trap: a quantum-chemical treatment
• Exactly solvable case of a one-dimensional Bose–Fermi mixture
• Collective mode evidence of high-spin bosonization in a trapped one-dimensional atomic Fermi gas with tunable spin