Incompressible liquid state of rapidly-rotating bosons at filling factor 3/2

TL;DR

This paper investigates the ground state of rapidly-rotating bosons at a filling factor of 3/2, providing numerical evidence that with certain interactions, the system exhibits a non-Abelian liquid state.

Contribution

It demonstrates that the ground state of rotating bosons at filling factor 3/2 can be a non-Abelian liquid when including longer-range interactions, supported by numerical analysis.

Findings

Ground state is a non-Abelian liquid with longer-range interactions.

Numerical evidence supports the existence of non-Abelian excitations.

The phase aligns with earlier theoretical constructions.

Abstract

Bosons in the lowest Landau level, such as rapidly-rotating cold trapped atoms, are investigated numerically in the specially interesting case in which the filling factor (ratio of particle number to vortex number) is 3/2. When a moderate amount of a longer-range (e.g. dipolar) interaction is included, we find clear evidence that the ground state is in a phase constructed earlier by two of us, in which excitations possess non-Abelian statistics.