Landau damping in dilute Bose gases

TL;DR

This paper investigates Landau damping in dilute Bose gases using perturbation theory, highlighting the importance of Bose-Einstein condensation and providing explicit decay rate formulas for elementary excitations across different temperature regimes.

Contribution

It introduces a perturbative approach that explicitly accounts for Bose-Einstein condensation effects on damping rates in both uniform and non-uniform Bose gases.

Findings

Derived explicit decay rate expressions for elementary excitations.

Analyzed damping behavior in low and high temperature regimes.

Provided systematic results for phonon width in homogeneous gases.

Abstract

Landau damping in weakly interacting Bose gases is investigated by means of perturbation theory. Our approach points out the crucial role played by Bose-Einstein condensation and yields an explicit expression for the decay rate of elementary excitations in both uniform and non uniform gases. Systematic results are derived for the phonon width in homogeneous gases interacting with repulsive forces. Special attention is given to the low and high temperature regimes.