Boson-fermion resonance model in one dimension

Year: 2005

Authors: Recati A., Fuchs J.N., Zwerger W.

Autors Affiliation: Institute for Theoretical Physics, Universität Innsbruck, Technikerstrasse 25, A-6020 Innsbruck, Austria;
CRS BEC-INFM, Povo and ECT, Villazzano, I-38050 Trento, Italy;
Laboratoire de Physique des Solides, Université Paris-Sud, Bâtiment 510 F-91405 Orsay, France
Physikdepartment, Techinische Universität Münich, James Frank Straße, D-85748 Garching, Germany

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 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.

Journal/Review: PHYSICAL REVIEW A

Volume: 71 (3B)      Pages from: 033630-1  to: 033630-8

KeyWords: BCS-BEC crossover; Two-channel model; Confined Induced Resonance
DOI: 10.1103/PhysRevA.71.033630

Citations: 18
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