Exactly solvable model of the BCS-BEC crossover

Year: 2004

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

Autors Affiliation: Institute for Theoretical Physics, Universität Innsbruck, Technikerstrasse 25, A-6020 Innsbruck, Austria

Abstract: We discuss an integrable model of interacting fermions in one dimension that allows a complete description of the crossover from a BCS- to a Bose-like superfluid. This model bridges the Gaudin-Yang model of attractive spin 1/2 fermions to the Lieb-Liniger model of repulsive bosons. Using a geometric resonance in the one-dimensional scattering length, the inverse coupling constant varies from -infinity to +infinity while the system evolves from a BCS-like state through a Tonks-Girardeau gas to a weakly interacting Bose gas of dimers. We study the ground state energy, the elementary density and spin excitations, and the correlation functions. An experimental realization with cold atoms of such a one-dimensional BCS-BEC crossover is proposed.


Volume: 93 (9)      Pages from: 090408-1  to: 090408-4

KeyWords: BCS-BEC crossover; one-dimensional system; exactly solvable models
DOI: 10.1103/PhysRevLett.93.090408

Citations: 133
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