Comment on ``Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases"

TL;DR

This paper critiques a previous claim by arguing that anyonic excitation statistics do not influence the stability of rapidly rotating attractive Bose gases in fractional quantum Hall states, and clarifies the invalidity of certain exact solutions.

Contribution

It provides a critical analysis disputing prior claims about the dynamical role of anyonic statistics and the validity of exact solutions in this context.

Findings

Anyonic statistics do not stabilize attractive Bose gases under rapid rotation.

The claim of exact solutions saturating the Bogomol'nyi bound is invalid for non-zero external fields.

The paper clarifies misconceptions in the previous work.

Abstract

We comment on the work of Fischer, Phys. Rev. Lett. 93, 160403 (2004). Contrary to the claim in the letter, we argue that the anyonic excitation statistics does not play any dynamical role in stabilizing attractive bose gases under rapid rotation in a fractional quantum Hall state. We also point out that the assertion of obtaining exact solutions of the self-dual equation that saturates the Bogomol'nyi bound is invalid for non-zero external field.