BCS–BEC crossover in one-dimensional integrable model

Miki Wadati,Toshiaki Iida

doi:10.1016/j.physleta.2006.07.068

BCS–BEC crossover in one-dimensional integrable model

Miki Wadati, Toshiaki Iida

https://doi.org/10.1016/j.physleta.2006.07.068

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Journal: Physics Letters A	Publication Date: Aug 7, 2006
Citations: 13

Affiliation: The University of Tokyo, Tokyo University of Science

#Bardeen–Cooper–Schrieffer Bose–Einstein Condensation Crossover #Ground State Properties Of Spin-1 + Show 8 more

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Abstract

Abstract The crossover from Bardeen–Cooper–Schrieffer (BCS) superfluid with singlet pairs to Bose–Einstein condensation (BEC) of molecules is studied in one dimension. By use of the nested Bethe ansatz method, the ground state properties of spin-1/2 fermions interacting through attractive δ-function are analyzed explicitly for strong and weak couplings. Based on those results, we confirm a crossover picture, that is, in the BEC regime (strong couplings) the system is described by molecules with weak repulsion while in the BCS regime (weak couplings) it behaves as the weakly attractive fermions.

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