Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
- College of Optical Sciences, University of Arizona, Tucson, Arizona 85721 (United States)
- Laboratoire de Physique et Modelisation des Mileux Condenses, C.N.R.S., B.P. 166, 38042 Grenoble (France)
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.
- OSTI ID:
- 21024526
- Journal Information:
- Physical Review Letters, Vol. 99, Issue 23; Other Information: DOI: 10.1103/PhysRevLett.99.230402; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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