Density profile of a strictly two-dimensional Bose gas at finite temperature

TL;DR

This paper investigates the behavior of a two-dimensional Bose gas at finite temperature, focusing on density profiles and condensate fraction changes influenced by temperature-dependent interactions and confinement effects.

Contribution

It introduces a model for a 2D Bose gas with temperature-dependent interactions derived from the many-body T-matrix, analyzing density profiles and condensate behavior.

Findings

Coupling parameters decrease with increasing temperature.

Condensate fraction diminishes as temperature rises.

Density profiles of condensate and thermal cloud are characterized.

Abstract

We study a Bose-condensed gas at finite temperature, in which the particles of the condensate and of the thermal cloud are constrained to move in a plane under radial harmonic confinement and interact via strictly two-dimensional collisions. The coupling parameters are obtained from a calculation of the many-body T-matrix and decreases as temperature increases through a dependence on the chemical potential and on the occupancy of excited states. We discuss the consequences on the condensate fraction and on the density profiles of the condensed and thermal components as functions of temperature, within a simplified form of the two-fluid model.