First and second sound in a strongly interacting Fermi gas

Details First and second sound in a strongly interacting Fermi gas First and second sound in a strongly interacting Fermi gas

2009-05-03

arxiv.org/abs/0905.0257v3

Phys. Rev. A 80, 053601 (2009)

Physics

Condensed Matter

Quantum Gases

Published version. 7 pages, 4 figures

Scientific paper

10.1103/PhysRevA.80.053601

Using a variational approach, we solve the equations of two-fluid hydrodynamics for a uniform and trapped Fermi gas at unitarity. In the uniform case, we find that the first and second sound modes are remarkably similar to those in superfluid Helium, a consequence of strong interactions. In the presence of harmonic trapping, first and second sound become degenerate at certain temperatures. At these points, second sound hybridizes with first sound and is strongly coupled with density fluctuations, giving a promising way of observing second sound. We also discuss the possibility of exciting second sound by generating local heat perturbations.

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