Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases

TL;DR

This paper demonstrates that in rapidly rotating Bose gases at certain coupling constants, the anyonic statistics of excitations can influence the system's dynamics, stabilizing attractive gases in the thermodynamic limit.

Contribution

It reveals the dynamical role of anyonic excitation statistics in rotating Bose gases and identifies conditions for noninteracting anyon solutions.

Findings

At specific coupling constants, the system becomes a noninteracting gas of anyons.

Anyonic statistics can stabilize attractive Bose gases under rapid rotation.

Exact solutions satisfy Bogomol'nyi self-dual equations.

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