Temperature and interaction dependence of the moment of inertia of a rotating condensate boson gas

TL;DR

This study uses a Hartree-Fock semiclassical approach to analyze how temperature and interactions influence the moment of inertia in a rotating Bose-Einstein condensate, highlighting superfluid effects at specific temperature ranges.

Contribution

It provides a combined classical and quantum mechanical analysis of the moment of inertia dependence on temperature and interactions in a rotating condensate Boson gas.

Findings

Moment of inertia is significantly affected by interactions.

Superfluid effects are observable at temperatures above 0.25 T_0.

Analysis bridges classical and quantum descriptions of the system.

Abstract

In this paper, a developed Hartree-Fock semiclassical approximation is used to calculate the temperature and interaction dependence of the moment of inertia of a rotating condensate Boson gas. A fully classical and quantum mechanical treatment for the moment of inertia are given in terms of the normalized temperature. We found that the moment of inertia is considerably affected by the interaction. The present analysis, shows that the superfluid effects in the moment of inertia of a condensate Boson gas can be observed at temperatures $T > .25 T_0 $ and not dramatically smaller than $T_0$.