The duality between a non-Hermitian two-state quantum system and a massless charged particle

Abstract

We show that the equations for the dynamics of a non-Hermitian two-state quantum system are the same as the equations of motion for a massless charged particle in an electromagnetic field. Using simple analytical arguments to prove this unexpected duality between two very different domains in physics, we further exemplify it through a case-study of polarization of light propagating in a dichroic medium with magneto-optic activity.