Thermodynamical Properties of a Rotating Ideal Bose Gas

Details Thermodynamical Properties of a Rotating Ideal Bose Gas Thermodynamical Properties of a Rotating Ideal Bose Gas

2006-04-06

arxiv.org/abs/cond-mat/0604162v2

Phys. Rev. A 76, 023609 (2007)

Physics

Condensed Matter

Statistical Mechanics

Author Information under http://www.theo-phys.uni-essen.de/tp/ags/pelster_dir/

Scientific paper

10.1103/PhysRevA.76.023609

In a recent experiment, a Bose-Einstein condensate was trapped in an anharmonic potential which is well approximated by a harmonic and a quartic part. The condensate was set into such a fast rotation that the centrifugal force in the corotating frame overcompensates the harmonic part in the plane perpendicular to the rotation axis. Thus, the resulting trap potential became Mexican-hat shaped. We present an analysis for an ideal Bose gas which is confined in such an anharmonic rotating trap within a semiclassical approximation where we calculate the critical temperature, the condensate fraction, and the heat capacity. In particular, we examine in detail how these thermodynamical quantities depend on the rotation frequency.

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