Temporal correlations of elongated Bose gases at finite temperature

TL;DR

This paper investigates how temperature fluctuations and trap geometry influence the temporal coherence of elongated Bose gases across different dimensional regimes using theoretical and numerical methods.

Contribution

It introduces a comprehensive formalism combining Bogoliubov analysis and Gross-Pitaevskii simulations to study temporal correlations in finite temperature Bose gases.

Findings

Temperature fluctuations significantly affect temporal coherence.

Trap elongation influences the crossover from 1D to 3D behavior.

The formalism accurately predicts correlation functions across regimes.

Abstract

Temporal correlations in the harmonically trapped finite temperature Bose gas are studied through the calculation of appropriate phase correlation functions. A wide parameter regime is covered to ascertain the role that temperature fluctuations and trap geometry play in the temporal coherence of the 1D to 3D crossover region. Bogoliubov analysis is used to establish results in the 1D and spherical limits. Formalism is then developed using the projected Gross-Pitaevskii equation to calculate correlation functions in 3D simulations of varying trap elongation and temperature.