Master Thesis Defense by Bastian Bakkesen

We investigate the optical properties of a system consisting of a waveguide coupled to a partially chiral infinite array of equidistant two-level emitters. In the first step, we employ a transfer matrix formalism, and are able to solve single photon transport for any combination of emitter position and chirality. We build upon this with the use of an effective Hamiltonian of the system to study the behavior of two photon bound states. We find that these come in two varieties, depending on the two photon momentum. One of these states is long-lived, whereas one decays in time via coupling to plane wave photons. We present a systematic way of deriving such states and a number of their properties, such as their dispersion, are studied. We also discuss further utilization of this systematic approach to bound states, and suggest developments to the presented theory.