Soluble models of strongly interacting ultracold gas mixtures in tight waveguides

被引：108
作者：
Girardeau, M. D. [1 ]
Minguzzi, A.
机构：
[1] Univ Arizona, Coll Opt Sci, Tucson, AZ 85721 USA
[2] CNRS, Lab Phys & Modelisat Mileux Condenses, F-38042 Grenoble, France
来源：
PHYSICAL REVIEW LETTERS | 2007年 / 99卷 / 23期
关键词：
D O I：
10.1103/PhysRevLett.99.230402
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A 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 distibutions, 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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