Dynamics, interferometry and fractional statistics of bulk Quantum Hall coherent states

We present a description of lowest Landau level coherent states and their dynamics in the presence of various potential landscapes. In particular, we study the time evolution of such states in harmonic and saddle potentials, as building blocks for exploring tunneling, interferometry and anyonic exchange statistics. Using these components, we model features of the Mach-Zehnder interferometer for both single and multiple Quantum Hall excitations. We identify possible settings for tunneling processes that are sensitive to fractional statistics, and exchange of anyonic states, both Abelian as well as those exhibiting braiding. Our analyses are applicable to well established solid state based Quantum Hall geometries as well as to novel realizations in photonic and cold atomic settings.