The Kitaev model exhibits a Quantum Spin Liquid hosting emergent
fractionalized excitations. We study the Kitaev model on the honeycomb lattice
coupled to a magnetic field along the [111] axis. Utilizing large scale matrix
product based numerical models, we confirm three phases with transitions at
different field strengths depending on the sign of the Kitaev exchange: a
non-abelian topological phase at low fields, an enigmatic intermediate regime
only present for antiferromagnetic Kitaev exchange, and a field-polarized
phase. For the topological phase, we numerically observe the expected cubic
scaling of the gap and extract the quantum dimension of the non-Abelian anyons.
Furthermore, we investigate dynamical signatures of the topological and the
field-polarized phase using a matrix product operator based time evolution
method.Comment: Changed convention to be in accordance with published articl
