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Phys. Rev. Lett. 96, 080404 (2006) [4 pages]Bosonization, Pairing, and Superconductivity of the Fermionic Tonks-Girardeau Gas
Received 26 August 2005; revised 10 January 2006; published 2 March 2006
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 its two-particle reduced density matrix exhibits superconductive 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. ©2006 The American Physical Society
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