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

Abstract

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, $T_c$.

4 pages, 3 figures, replaced with revised version

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Cited by in corpus (13)

• Theory of ultracold Fermi gases
• Collective Modes in a Unitary Fermi Gas across the Superfluid Phase Transition
• First and second sound in a strongly interacting Fermi gas
• First and second sound in a highly elongated Fermi gas at unitarity
• First and second sound in cylindrically trapped gases
• Variational theory of two-fluid hydrodynamic modes at unitarity
• Propagation of Second sound in a superfluid Fermi gas in the unitary limit
• Collective excitations of a trapped Fermi gas at finite temperature
• Conserving T-matrix theory of superconductivity
• Second sound with ultracold atoms: A brief historical account
• Mean-field description of pairing effects, BKT physics, and superfluidity in 2D Bose gases
• Two-fluid theory for superfluid system with anisotropic effective masses
• First and second sound of a unitary Fermi gas in highly elongated harmonic traps