Quantum Hall states and boson triplet condensate for rotating spin-1 bosons

TL;DR

This paper introduces two new series of clustered quantum Hall states for rotating spin-1 bosons, including a spin-singlet boson triplet condensate, expanding understanding of quantum Hall phenomena in spinor systems.

Contribution

It proposes and analyzes two novel series of quantum Hall states, SU(4)_k and SO(5)_k, with exact ground states for rotating spin-1 bosons, including the first detailed study of a boson triplet condensate.

Findings

SU(4)_k states include exact ground states at large angular momentum.

SO(5)_k states include exact ground states at various parameters.

Identification of a spin-singlet boson triplet condensate (BTC).

Abstract

We propose and analyze two series of clustered quantum Hall states for rotating systems of spin-1 bosons. The first series (labelled SU(4)_k) includes the exact ground states of a model Hamiltonian at large angular momentum L, and also for N=3k particles at L=N. The latter is a spin-singlet boson triplet condensate (BTC). The second series, labelled SO(5)_k, includes exact ground states at large $L$ for different parameter values.