Derivation of hydrodynamics for the gapless mode in the BEC-BCS crossover from the exact one-loop effective action

Abstract

We show that many hydrodynamical properties of the BEC/BCS crossover in the presence of a Feshbach resonance at T=0 can be derived easily from the derivative expansion of the (exact) fully renormalized one-loop effective action. In particular, we calculate the velocity of sound throughout the BCS and BEC regimes and derive the generalized superfluid continuity equations for the composite two-fluid system.

Comments: Four pages, 1 figure. Whereas v.2 contained additional references, but was otherwise unchanged, this new version contains new material concerning our ability to provide a hydrodynamical description of the BEC/BSC system. This explains the change of title. Our old results are unaffected