Bosonization, Pairing, and Superconductivity of the Fermionic Tonks-Girardeau Gas

M. D. Girardeau 1, A. Minguzzi 2, 3

Physical Review Letters 96 (2006) 080404

We determine some exact static and time-dependent properties of the fermionic Tonks-Girardeau (FTG) gas, a spin-aligned one-dimensional Fermi gas with infinitely strongly attractive zero-range odd-wave interactions. We show that the two-particle reduced density matrix exhibits maximal off-diagonal long-range order, and on a ring an FTG gas with an even number of atoms has a highly degenerate ground state with quantization of Coriolis rotational flux and high sensitivity to rotation and to external fields and accelerations. For a gas initially under harmonic confinement we show that during an expansion the momentum distribution undergoes a 'dynamical bosonization', approaching that of an ideal Bose gas without violating the Pauli exclusion principle.

  • 1. College of Optical Sciences,
    University of Arizona
  • 2. Laboratoire de physique et modélisation des milieux condensés (LPMMC),
    CNRS : UMR5493 – Université Joseph Fourier - Grenoble I
  • 3. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud