Static Properties of Trapped Bose Gases at Finite Temperature: I. Thomas- Fermi Limit

TL;DR

This paper develops a variational method to analyze the static properties of trapped Bose gases at finite temperature, deriving simple analytic expressions in the Thomas-Fermi limit.

Contribution

It introduces a straightforward formalism for describing condensate and noncondensate densities at finite temperature in the Thomas-Fermi regime.

Findings

Analytic expressions for condensate properties at finite temperature

Profiles of noncondensate and anomalous densities analyzed

Formalism shows promising simplicity and effectiveness

Abstract

We rely on a variational approach to derive a set of equations governing a trapped self-interacting Bose gas at finite temperature. In this work, we analyze the static situation both at zero and finite temperature in the Thomas-Fermi limit. We derive simple analytic expressions for the condensate properties at finite temperature. The noncondensate and anomalous density profiles are also analyzed in terms of the condensate fraction. The results are quite encouraging owing to the simplicity of the formalism.