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.
Keywords
Cite
@article{arxiv.cond-mat/0603747,
title = {Pairing of a harmonically trapped fermionic Tonks-Girardeau gas},
author = {A. Minguzzi and M. D. Girardeau},
journal= {arXiv preprint arXiv:cond-mat/0603747},
year = {2009}
}
Comments
4 pages, 3 figures, revtex4