Interaction Dependence Thermodynamical parameters of Harmonically Trapped Bose gas

TL;DR

This paper derives analytical thermodynamical parameters for a harmonically trapped Bose gas, considering realistic effects like finite size and interactions, and compares the results with experimental data showing good agreement.

Contribution

It provides new analytical expressions for thermodynamic parameters of trapped Bose gases including effects of anisotropy and interactions, validated against experimental results.

Findings

Analytical expressions for condensed fraction, specific heat, and critical temperature.

Finite size and interaction effects significantly influence thermodynamic properties.

Theoretical results agree well with experimental data for 52Cr Bose gas.

Abstract

In this paper the thermodynamical parameters of a condensed Boson gas are calculated from the partial derivative of the grand potential. In particular, the analytical expressions for some important parameters, such as the condensed fraction, specific heat, critical temperature, effective size, and release energy are investigated. The mean effects which can be altered the ideal Bose gas, such as finite size, highly anisotropic of the external potential and interatomic interaction effects are considered simultaneously. Some new characteristics of the trapped interacting Bose gases in a highly anisotropic trap are revealed. The calculated result for the condensed fraction is compared with the ongoing Stuttgart experiment for 52Cr (Griesmaier et al., Phys. Rev. Lett. 94, 160401(2005)) directly. Good agreement between both the theoretical and experimental data are obtained.