Dielectric formalism and damping of collective modes in trapped Bose-Einstein condensed gases

TL;DR

This paper develops a dielectric formalism for trapped Bose-Einstein condensates at finite temperatures and calculates the damping of low-energy collective excitations in the collisionless regime, providing insights into their dynamic behavior.

Contribution

It introduces a dielectric formalism tailored for trapped BECs at finite temperatures and computes damping rates of collective modes in a specific temperature regime.

Findings

Damping rates of low-energy excitations are quantified.

The formalism applies to large condensates in external potentials.

Results are relevant for understanding collective mode dynamics in BECs.

Abstract

We present the general dielectric formalism for Bose-Einstein condensed systems in external potential at finite temperatures. On the basis of a model arising within this framework as a first approximation in an intermediate temperature region for large condensate we calculate the damping of low-energy excitations in the collisionless regime.