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Phys. Rev. A 73, 063614 (2006) [4 pages]

Pairing of a harmonically trapped fermionic Tonks-Girardeau gas

A. Minguzzi1,2 and M. D. Girardeau3
1Laboratoire de Physique et Modélisation des Mileux Condensés, CNRS, Boîte Postale 166, 38042 Grenoble, France
2Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris-Sud, Bâtiment 100, F-91405 Orsay, France
3College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA

Received 28 March 2006; published 12 June 2006

The fermionic Tonks-Girardeau (FTG) gas is a one-dimensional spin-polarized Fermi gas with infinitely strong attractive zero-range odd-wave interactions, arising from a confinement-induced resonance reachable via a three-dimensional p-wave Feshbach resonance. We investigate the off-diagonal long-range order (ODLRO) of the FTG gas subjected to a longitudinal harmonic confinement by analyzing the two-particle reduced density matrix for which we derive a closed-form expression. Using a variational approach and numerical diagonalization we find that the largest eigenvalue of the two-body density matrix is of order N/2, where N is the total particle number, and hence a partial ODLRO is present for a FTG gas in the trap.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.73.063614
DOI: 10.1103/PhysRevA.73.063614
PACS: 03.75.-b; 05.30.Jp
  • 03.75.-b
    Matter waves
  • 05.30.Jp
    Boson systems (quantum statistical mechanics)
  • YEAR: 2006
KEYWORDS: fermion systems, eigenvalues and eigenfunctions, matrix algebra, resonant states, variational techniques

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