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Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases

Uwe R. Fischer
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Abstract

We show that for rotating harmonically trapped Bose gases in a fractional quantum Hall state, the anyonic excitation statistics in the rotating gas can effectively play a {\em dynamical} role. For particular values of the two-dimensional coupling constant $g = -2π\hbar^2 (2k-1)/m$, where $k$ is a positive integer, the system becomes a noninteracting gas of anyons, with exactly obtainable solutions satisfying Bogomol'nyi self-dual order parameter equations. Attractive Bose gases under rapid rotation thus can be stabilized in the thermodynamic limit due to the anyonic statistics of their quasiparticle excitations.

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Uwe R. Fischer. 2004-10-06. Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases. https://doi.org/10.1103/physrevlett.93.160403

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