Propagation of Second sound in a superfluid Fermi gas in the unitary limit

Details Propagation of Second sound in a superfluid Fermi gas in the unitary limit Propagation of Second sound in a superfluid Fermi gas in the unitary limit

2009-07-16

arxiv.org/abs/0907.2743v3

Physics

Condensed Matter

Quantum Gases

12 pages, 9 figures. This version includes an erratum concerning the temperature dependence of hydrodynamic sound weights in P

Scientific paper

We study sound propagation in a uniform superfluid gas of Fermi atoms in the unitary limit. The existence of normal and superfluid components leads to appearance of two sound modes in the collisional regime, referred to as first and second sound. The second sound is of particular interest as it is a clear signal of a superfluid component. Using Landau's two-fluid hydrodynamic theory, we calculate hydrodynamic sound velocities and these weights in the density response function. The latter is used to calculate the response to a sudden modification of the external potential generating pulse propagation. The amplitude of a pulse which is proportional to the weight in the response function, is calculated the basis of the approach of Nozieres and Schmitt-Rink (NSR) for the BCS-BEC crossover. We show that, in a superfluid Fermi gas at unitarity, the second sound pulse is excited with an appreciate amplitude by density perturbations.

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