Decay dynamics of radiatively coupled quantum dots in photonic crystal slabs

We theoretically investigate the influence of radiative coupling on light emission in a photonic crystal slab structure. The calculation method is based on a formalism that combines the photon Green's tensor with a self-consistent Dyson equation approach and is applicable to a wide range of problems in nanophotonics. We apply the method to calculate how resonant interactions of neighboring quantum dots affect the spontaneous emission, and we observe a pronounced nonexponential decay in the intensity at the detector position. We analyze the decay based on detailed calculations of the Green's tensor and show how interference between different light scattering pathways is responsible for this nontrivial detector response.