Electromagnetically induced transparency in disordered and bidirectional chiral waveguide quantum electrodynamics

Emitters coupled to nanophotonic waveguides architectures have gained a lot of attention due to the possibility of chiral (unidirectional) couplings between the emitters and the waveguide field [Nature, 541, 473-480 (2017)]. Till date most of the work on many emitter-waveguide quantum electrodynamics has focused on the scenario in which emitters are periodically placed and are symmetrically coupled with the waveguide. I this talk, I'll present single-photon transport problem in a one-dimensional disordered lattice of three-level emitters coupled to a waveguide [JOSA B, 35, 5 (2018)]. In particular, I'll consider Λ-type three-level emitters capable of exhibiting electromagnetically induced transparency and separately consider disorder in the atomic positions and transition frequencies. The question I'll address is how chiral emissions can imapct the formation of spatially localized states. This work has possible applications to quantum networks and quantum communications.