Dynamics and Entanglement Properties of Anyons in the Quantum Hall Bulk

Since the experimental detection of anyons, there has been a resurgence of interest in the field of fractional statistics. In this talk, we present a study of the dynamics of anyons in the quantum Hall bulk. Using the Husimi-Q distribution, we describe the scattering of two-particle anyon coherent states in the lowest Landau level in the presence of a saddle potential and their relative motion in an elliptical trap. We compute the dynamically evolving mutual entanglement properties of anyons in such quadratic potentials and contrast them with fermions, bosons, and distinguishable particles to identify the signatures of quantum statistics in this measure. Finally, we analyze the general algebraic structure and symmetries in quadratic potentials in the lowest Landau level to better organize and understand the structure in the dynamics.