Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides

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M. D. Girardeau¹ and A. Minguzzi²
¹College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA
²Laboratoire de Physique et Modélisation des Mileux Condensés, C.N.R.S., B.P. 166, 38042 Grenoble, France

Received 13 June 2007; published 5 December 2007

AFermi-Bose mapping method is used to determine the exact groundstates of several models of mixtures of strongly interacting ultracoldgases in tight waveguides, which are generalizations of the Tonks-Girardeau(TG) gas (1D Bose gas with point hard cores) andfermionic Tonks-Girardeau (FTG) gas (1D spin-aligned Fermi gas with infinitelystrong zero-range attractions). We detail the case of a Bose-Fermimixture with TG boson-boson (BB) and boson-fermion (BF) interactions. Exactresults are given for density profiles in a harmonic trap,single-particle density matrices, momentum distibutions, and density-density correlations. Since theground state is highly degenerate, we analyze the splitting ofthe ground manifold for large but finite BB and BFrepulsions.

URL:	http://link.aps.org/doi/10.1103/PhysRevLett.99.230402
DOI:	10.1103/PhysRevLett.99.230402
PACS:	03.75.Mn 03.75.Mn Multicomponent Bose-Einstein condensates; spinor condensates YEAR: 2007
KEYWORDS:	boson systems, fermion systems, ground states

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Phys. Rev. Lett. 99, 230402 (2007) [4 pages]

Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides

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A new free weekly publication from APS