2004/10/07 by Alessio Recati, A. Recati, Jean-Noël Fuchs +2 · 4 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Strong Light-Matter Interactions #cond-mat.supr-con
paper · pdf · doi:10.1103/physreva.71.033630
published as Phys. Rev. A 71, 033630 (2005). · 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)
arxiv created 2004/10/07 · openalex publication_date 2005/03/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 photoassociation 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.