Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases

Details Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases

2004-05-10

arxiv.org/abs/cond-mat/0405184v4

Phys.Rev.Lett. 93 (2004) 160403

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages of RevTex4; as published in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.93.160403

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 $g = -2\pi \hbar^2 (2k-1)/m$, 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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