Landau-Khalatnikov phonon damping in strongly interacting Fermi gases

TL;DR

This paper derives and extends the calculation of phonon damping rates in strongly interacting Fermi gases using quantum hydrodynamics, providing predictions that can be tested in cold atomic gas experiments.

Contribution

It offers a corrected and extended theoretical derivation of Landau-Khalatnikov phonon damping in strongly interacting Fermi gases.

Findings

Derived the phonon damping rate using quantum hydrodynamics

Extended the original Landau-Khalatnikov calculation from 1949

Predictions applicable to current cold atomic gas experiments

Abstract

We derive the phonon damping rate due to the four-phonon Landau-Khalatnikov process in low temperature strongly interacting Fermi gases using quantum hydrodynamics, correcting and extending the original calculation of Landau and Khalatnikov [ZhETF, 19 (1949) 637]. Our predictions can be tested in state-of-the-art experiments with cold atomic gases in the collisionless regime.