An exactly solvable model of the BCS-BEC crossover

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dc.creatorFuchs, J. N.
dc.creatorRecati, A.
dc.creatorZwerger, W.
dc.date2004-02-17
dc.date2004-03-11
dc.date.accessioned2026-07-07T02:56:32Z
dc.date.available2026-07-07T02:56:32Z
dc.descriptionWe 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.
dc.descriptioncorrected typos, minor modifications, submitted version
dc.identifierhttps://arxiv.org/abs/cond-mat/0402448
dc.identifierhttp://arxiv.org/abs/cond-mat/0402448
dc.identifierPhys. Rev. Lett. 93, 090408 (2004).
dc.identifierdoi:10.1103/PhysRevLett.93.090408
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23357
dc.subjectStatistical Mechanics
dc.subjectSuperconductivity
dc.titleAn exactly solvable model of the BCS-BEC crossover
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