Thermodynamic Properties of a Trapped Interacting Bose Gas

TL;DR

This paper investigates the thermodynamic behavior of trapped Bose gases, deriving analytical expressions for ideal and interacting cases using local density approximation, highlighting how interactions influence properties.

Contribution

It provides new analytical results for thermodynamic properties of Bose gases in power-law traps, including effects of atomic interactions.

Findings

Analytical formulas for ideal Bose gas thermodynamics in power-law traps.

Interaction effects modify thermodynamic properties significantly.

Results applicable to experimental setups with trapped Bose gases.

Abstract

A Bose gas in an external potential is studied by means of the local density approximation. Analytical results are derived for the thermodynamic properties of an ideal Bose gas in a generic power-law trapping potential, and their dependence on the mutual interaction of atoms in the case of a non-ideal Bose gas.