dc Josephson effect with Fermi gases in the Bose-Einstein regime

F. Ancilotto; L. Salasnich; F. Toigo

doi:10.1103/PhysRevA.79.033627

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dc Josephson effect with Fermi gases in the Bose-Einstein regime

F. Ancilotto, L. Salasnich, F. Toigo

DOI 10.1103/PhysRevA.79.033627 · Physical Review A

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Abstract

We show that the dc Josephson effect with ultracold fermionic gases in the Bose-Einstein-condensate (BEC) regime of composite molecules can be described by a nonlinear Schrödinger equation (NLSE). By comparing our results with Bogoliubov–de Gennes calculations [Phys. Rev. Lett. 99, 040401 (2007)] we find that our superfluid NLSE, which generalizes the Gross-Pitaevskii equation taking into account the correct equation of state, is reliable in the BEC regime of the BCS-BEC crossover up to the limit of very large (positive) scattering length. We also predict that the Josephson current displays relevant beyond-mean-field effects.