Boson-Fermion Resonance Model in One Dimension
arXiv:cond-mat/0410183 · doi:10.1103/PhysRevA.71.033630
Abstract
We discuss the BCS-BEC crossover for one-dimensional spin 1/2 fermions at zero temperature using the Boson-Fermion resonance model in one dimension. We show that in the limit of a broad resonance, this model is equivalent to an exactly solvable single channel model, the so-called modified Gaudin-Yang model. We argue that the one-dimensional crossover may be realized either via the combination of a Feshbach resonance and a confinement induced resonance or using direct photo-association in a two-component Fermi gas with effectively one-dimensional dynamics. In both cases, the system may be driven from a BCS-like state through a molecular Tonks-Girardeau gas close to resonance to a weakly interacting Bose gas of dimers.
8 pages, 2 figures. The analysis in the present manuscript is related to what is discussed in Phys. Rev. Lett. 93, 090405 (2004) and Phys. Rev. Lett. 93, 090408 (2004)
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- One-dimensional model of chiral fermions with Feshbach resonant interactions
- One-dimensional two-component fermions with contact even-wave repulsion and SU(2) breaking near-resonant odd-wave attraction