An exactly solvable model of the BCS-BEC crossover

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
corrected typos, minor modifications, submitted version

Keywords

Statistical Mechanics, Superconductivity

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/23357

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0402448
 http://arxiv.org/abs/cond-mat/0402448
 Phys. Rev. Lett. 93, 090408 (2004).
 doi:10.1103/PhysRevLett.93.090408

Collections

arXiv