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.
Journal/Review: PHYSICAL REVIEW LETTERS
Volume: 93 (9) Pages from: 090408-1 to: 090408-4
KeyWords: BCS-BEC crossover; one-dimensional system; exactly solvable modelsDOI: 10.1103/PhysRevLett.93.090408ImpactFactor: 7.218Citations: 135data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-09-29References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here