{ "id": "cond-mat/0402448", "version": "v2", "published": "2004-02-17T16:09:54.000Z", "updated": "2004-03-11T11:03:37.000Z", "title": "An exactly solvable model of the BCS-BEC crossover", "authors": [ "J. N. Fuchs", "A. Recati", "W. Zwerger" ], "comment": "corrected typos, minor modifications, submitted version", "journal": "Phys. Rev. Lett. 93, 090408 (2004).", "doi": "10.1103/PhysRevLett.93.090408", "categories": [ "cond-mat.stat-mech", "cond-mat.supr-con" ], "abstract": "We discuss an integrable model of interacting Fermions in one dimension, that allows an exact 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 minus infinity to plus infinity while the system evolves from a BCS-like state through a Tonks 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.", "revisions": [ { "version": "v2", "updated": "2004-03-11T11:03:37.000Z" } ], "analyses": { "keywords": [ "exactly solvable model", "one-dimensional bcs-bec crossover", "ground state energy", "inverse coupling constant varies", "cold atoms" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }