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

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

2006-06-09

arxiv.org/abs/cond-mat/0606243v3

Phys.Rev.Lett.98:020603,2007

Physics

Condensed Matter

Other Condensed Matter

Four pages, 1 figure. Whereas v.2 contained additional references, but was otherwise unchanged, this new version contains new

Scientific paper

10.1103/PhysRevLett.98.020603

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.

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