Exact Groundstates of Rotating Bose Gases close to a Feshbach Resonance

TL;DR

This paper analytically finds exact groundstates of rotating Bose gases near a Feshbach resonance, revealing regimes where these states are fractional quantum Hall states with non-abelian excitations.

Contribution

It provides an analytical solution for the groundstates of rotating Bose gases with resonant interactions, highlighting conditions for exotic fractional quantum Hall states.

Findings

Exact groundstates can be analytically determined at high angular momentum.

Identifies parameter regimes with non-abelian fractional quantum Hall states.

Reveals potential for non-abelian excitations in Bose gases near Feshbach resonance.

Abstract

We study the groundstates of rotating Bose gases when interactions are affected by a nearby Feshbach resonance. We show that exact groundstates at high angular momentum can be found analytically for a general and realistic model for the resonant interactions. We identify parameter regimes where the exact groundstates are exotic fractional quantum Hall states, the excitations of which obey non-abelian exchange statistics.