Markovian and non-Markovian decay in pseudo-gaps

In this work we have investigated Markovian and non-Markovian features of emitter’s dynamics in incomplete gaps. Band-gaps with narrow bands of allowed states within the gap were also considered. We derive conditions of non-Markovianity of the emitter’s dynamics, and suggest a novel design of the photonic crystal cavity using the photon-emitter bound state.