Anyonic Excitations in Fast Rotating Bose Gases Revisited

TL;DR

This paper investigates how different types of anyonic excitations influence the stability of fast rotating Bose gases in a quantum Hall state, highlighting conditions for stability with standard and non-standard anyons.

Contribution

It compares standard Chern-Simons anyons and non-standard anyons with Maxwell-Chern-Simons dynamics in stabilizing attractive Bose gases under rapid rotation.

Findings

Standard anyons can stabilize attractive Bose gases.

Non-standard anyons require limited interaction range for stability.

Stability depends on the type of anyonic excitation and interaction parameters.

Abstract

The role of anyonic excitations in fast rotating harmonically trapped Bose gases in a fractional Quantum Hall state is examined. Standard Chern-Simons anyons as well as "non standard" anyons obtained from a statistical interaction having Maxwell-Chern-Simons dynamics and suitable non minimal coupling to matter are considered. Their respective ability to stabilize attractive Bose gases under fast rotation in the thermodynamical limit is studied. Stability can be obtained for standard anyons while for non standard anyons, stability requires that the range of the corresponding statistical interaction does not exceed the typical wavelenght of the atoms.