Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides

Details Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides

2007-06-12

arxiv.org/abs/0706.1797v2

Physics

Condensed Matter

Other Condensed Matter

Revised to discuss splitting of degenerate ground manifold for large but finite BB and BF repulsions; accepted by PRL

Scientific paper

10.1103/PhysRevLett.99.230402

A generalized Fermi-Bose mapping method is used to determine the exact ground states of several models of mixtures of strongly interacting ultracold gases in tight waveguides, which are generalizations of the Tonks-Girardeau (TG) gas (1D Bose gas with point hard cores) and fermionic Tonks-Girardeau (FTG) gas (1D spin-aligned Fermi gas with infinitely strong zero-range attractions). We detail the case of a Bose-Fermi mixture with TG boson-boson (BB) and boson-fermion (BF) interactions. Exact results are given for density profiles in a harmonic trap, single-particle density matrices, momentum distributions, and density-density correlations. Since the ground state is highly degenerate, we analyze the splitting of the ground manifold for large but finite BB and BF repulsions.

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