Electromagnetically induced transparency in photonic crystal cavities

We investigate electromagnetically-induced transparency (EIT) in a three-level system in the cavity quantum electrodynamics regime, in which the cavity is a defect mode within a photonic crystal (PhC) material. Using a dressed state formalism, we address the enhancement of the EIT effect in the three-level system in both the V and A configurations utilizing both an ordinary cavity and a PhC cavity, thereby demonstrating the similarities and differences between the two situations. We will elucidate the role of the infinite ladder of photon-dependent dark states on the absorption minimum on resonance and the width of the EIT window off resonance. We will discuss the effect of the PhC bandgap on the cavity EIT phenomenon, and compare with recent results for EIT systems embedded in PhC materials.