Fully quantum mechanical moment of inertia of a mesoscopic ideal Bose gas

Details Fully quantum mechanical moment of inertia of a mesoscopic ideal Bose gas Fully quantum mechanical moment of inertia of a mesoscopic ideal Bose gas

2000-03-29

arxiv.org/abs/cond-mat/0003471v3

Physics

Condensed Matter

Statistical Mechanics

6 pages, 1 figures, latest version has an new title and some small textual changes

Scientific paper

10.1007/s100510070040

The superfluid fraction of an atomic cloud can be defined using the cloud's response to a rotation of the external potential, i.e. the moment of inertia. In this paper we derive analytical results for the moment of inertia of a small number of non-interacting Bosons using the canonical ensemble. The required symmetrized averages are obtained via a representation of the partition function by permutation cycles. Our results are useful to discriminate purely quantum statistical effects from interaction effects in studies of superfluidity and phase transitions in finite samples.

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