"Fermionization" of Rotating Spin-1 Bose Clusters

TL;DR

This paper introduces a scheme to generate rotating spin-1 Bose atom clusters with quantum Hall and spin liquid properties, revealing fermionization effects and spin-orbit correlations as rotation increases.

Contribution

It demonstrates a method to produce and analyze rotating spin-1 Bose clusters exhibiting fermionization and quantum Hall features, with a focus on spin-orbit correlations and density scaling.

Findings

Ground state transitions occur at increasing rotation frequencies.

Fermionization of bosons is facilitated by spin degrees of freedom.

Density scaling reflects quantum Hall and spin structures.

Abstract

We propose a simple scheme of generating rotating atomic clusters in an optical lattices which produces states with quantum Hall and spin liquid properties. As the rotation frequencies increases, the ground state of a rotating cluster of spin-1 Bose atoms undergoes a sequence of (spin and orbit) transitions, which terminates at an angular momentum $L^{\ast}$ substantially lower than that of the boson Laughlin state. The spin-orbit correlations reflect "fermionization" of bosons facilitated by their spin degrees of freedom. We also show that the density of an expanding group of clusters has a scaling form which reflects the quantum Hall and the spin structure of a single cluster.