Low Temperature Relaxation of the Phase in an Inhomogeneous Bose Gas

TL;DR

This paper investigates how the phase difference in an inhomogeneous Bose gas relaxes over time at different temperatures, using an effective action approach to understand dynamics across potential barriers.

Contribution

It introduces an effective action framework to analyze phase relaxation in inhomogeneous Bose gases at various temperatures, highlighting the effects of external potentials.

Findings

Phase relaxation dynamics depend on temperature regimes.

Effective action formalism captures inhomogeneity effects.

Results inform understanding of coherence in Bose gases.

Abstract

An effective action is obtained of a Bose gas in the bulk separated into two regions by a strong external potential depending on the single coordinate. The main attention is focused on the relaxation of the difference between phases of the weakly coupling condensates of the different bulk domains separated from each other by the external potential. The cases of low and high temperatures are considered.