Pairing of a harmonically trapped fermionic Tonks-Girardeau gas

Abstract

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.

4 pages, 3 figures, revtex4

References in corpus (1)

• Exact coherent states of a harmonically confined Tonks-Girardeau gas

Cited by in corpus (7)

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• Stability of spinor Fermi gases in tight waveguides
• Universality of internal correlations of strongly interacting p-wave fermions in one-dimensional geometry
• Universal composite boson formation in strongly interacting one-dimensional fermionic systems
• Bardeen-Cooper-Schrieffer State Representation and Pairing in the Fermionic Tonks-Girardeau Gas