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Title: Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides

Abstract

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.

Authors:
 [1];  [2]
  1. College of Optical Sciences, University of Arizona, Tucson, Arizona 85721 (United States)
  2. Laboratoire de Physique et Modelisation des Mileux Condenses, C.N.R.S., B.P. 166, 38042 Grenoble (France)
Publication Date:
OSTI Identifier:
21024526
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 99; Journal Issue: 23; Other Information: DOI: 10.1103/PhysRevLett.99.230402; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN GAS; BOSONS; DENSITY; DENSITY MATRIX; FERMI GAS; FERMIONS; GASES; GROUND STATES; MAPPING; MIXTURES; SPIN; WAVEGUIDES

Citation Formats

Girardeau, M. D., and Minguzzi, A. Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides. United States: N. p., 2007. Web. doi:10.1103/PHYSREVLETT.99.230402.
Girardeau, M. D., & Minguzzi, A. Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides. United States. doi:10.1103/PHYSREVLETT.99.230402.
Girardeau, M. D., and Minguzzi, A. Fri . "Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides". United States. doi:10.1103/PHYSREVLETT.99.230402.
@article{osti_21024526,
title = {Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides},
author = {Girardeau, M. D. and Minguzzi, A.},
abstractNote = {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.},
doi = {10.1103/PHYSREVLETT.99.230402},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 23,
volume = 99,
place = {United States},
year = {2007},
month = {12}
}