Rotational properties of trapped bosons

TL;DR

This paper derives the temperature-dependent moment of inertia for trapped bosons using the Hellman-Feynman theorem, revealing significant reductions below the condensation temperature due to Bose-Einstein statistics.

Contribution

It introduces a method to calculate the average square radius of interacting bosons in a trap from free energy, linking it to their rotational properties.

Findings

Moment of inertia decreases substantially below the critical temperature.

Bose-Einstein statistics significantly influence rotational properties.

Method applicable to non-interacting bosons in a parabolic trap.

Abstract

Based on the Hellman-Feynman theorem it is shown that the average square radius of a cloud of interacting bosons in a parabolic well can be derived from their free energy. As an application, the temperature dependence of the moment of inertia of non-interacting bosons in a parabolic trap is determined as a function of the number of bosons. Well below the critical condensation temperature, the Bose-Einstein statistics are found to substantially reduce the moment of inertia of this system, as compared to a gas of "distinguishable" particles in a parabolic well.