First and second sound modes at finite temperature in trapped Fermi gases from BCS to BEC

Details First and second sound modes at finite temperature in trapped Fermi gases from BCS to BEC First and second sound modes at finite temperature in trapped Fermi gases from BCS to BEC

2007-04-15

arxiv.org/abs/0704.1889v2

Phys. Rev. A 76, 051602(R) (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures, replaced with revised version

Scientific paper

10.1103/PhysRevA.76.051602

We determine the temperature $T$ dependence of first and second sound mode frequencies for trapped Fermi gases undergoing BCS to Bose Einstein condensation (BEC) crossover. Our results are based on the two fluid equations in conjunction with a microscopic calculation of thermodynamical variables. As in experiment and at unitarity, we show that the lowest radial breathing mode is $T$ independent. At finite $T$, higher order breathing modes strongly mix with second sound. Their complex $T$ dependence should provide an alternative way of measuring the transition temperature, $T_c$.

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