Interacting fermions in quasi-one-dimensional harmonic traps

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

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• Evidence for the super Tonks-Girardeau gas
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• Exact results for the 1D interacting Fermi gas with arbitrary polarization
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• Dynamical Detection of Topological Phase Transitions in Short-Lived Atomic Systems
• Particle-number scaling of the quantum work statistics and Loschmidt echo in Fermi gases with time-dependent traps
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• Topological Uniform Superfluid and FFLO Phases in 3D to 1D crossover of spin-orbit coupled Fermi gases
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• T-matrix approach to the phonon-mediated Casimir interaction
• Component separation of two-component fermion clouds in a spin-dependent external potential by spin-density-functional theory
• Computation of local exchange coefficients in strongly interacting one-dimensional few-body systems: local density approximation and exact results
• Hard-Wall and Non-Uniform Lattice Monte Carlo Approaches to One-Dimensional Fermi Gases in a Harmonic Trap
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• Double occupancies in confined attractive fermions on optical lattices
• Gap solitons of a super-Tonks-Girardeau gas in a one-dimensional periodic potential
• Effective theory for strongly attractive one-dimensional fermions