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.

arXiv comment4 pages, 3 figures, revtex4

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Cited by in corpus (10)

• Many interacting fermions in a one-dimensional harmonic trap: a quantum-chemical treatment
• Two-component few-fermion mixtures in a one-dimensional trap: numerical versus analytical approach
• Ground and excited states of spinor Fermi gases in tight waveguides and the Lieb-Liniger-Heisenberg model
• Discretized vs. continuous models of p-wave interacting fermions in 1D
• Effective super Tonks-Girardeau gases as ground states of strongly attractive multi-component fermions
• Stability of spinor Fermi gases in tight waveguides
• Universality of internal correlations of strongly interacting p-wave fermions in one-dimensional geometry
• Variational ansatz for $p$-wave fermions confined in a one-dimensional harmonic trap
• Universal composite boson formation in strongly interacting one-dimensional fermionic systems
• Bardeen-Cooper-Schrieffer State Representation and Pairing in the Fermionic Tonks-Girardeau Gas