Density-functional theory for 1D harmonically trapped Bose-Fermi mixture

Abstract

We present a density-functional theory for the one dimensional harmonically trapped Bose-Fermi mixture with repulsive contact interactions. The ground state density distribution of each component is obtained by solving the Kohn-Sham equations numerically based on the Local Density Approximation and the exact solution for the homogeneous system given by Bethe ansatz method. It is shown that for strong enough interaction, a considerable amount of fermions are repelled out of the central region of the trap, exhibiting partial phase separation of Bose and Fermi components. Oscillations emerge in the Bose density curves reflecting the strong correlation with Fermions. For infinite strong interaction, the ground state energy of the mixture and the total density are consistent with the scenario that all atoms in the mixture are fully fermionized.

10 pages, 8 figures

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• Spectroscopy for a Few Atoms Harmonically-Trapped in One Dimension
• Strongly interacting mesoscopic systems of anyons in one dimension
• Strongly interacting Bose-Fermi mixtures in one dimension
• Analytical and numerical studies of Bose-Fermi mixtures in a one-dimensional harmonic trap
• Density functional theory for strongly-correlated bosonic and fermionic ultracold dipolar and ionic gases
• Density-functional theory for the spin-1 bosons in a one-dimensional harmonic trap
• Component separation of two-component fermion clouds in a spin-dependent external potential by spin-density-functional theory
• Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture
• Exploring phonon-like interactions in one-dimensional Bose-Fermi mixtures