Single-quantum-dot strong coupling in a semiconductor photonic crystal nanocavity side coupled to a waveguide

We present an intuitive photon Green function formalism to study strong coupling via reflection or transmission of light in a planar-photonic-crystal waveguide that is side coupled to a nanocavity containing only one quantum dot. Analytical results allow physical insight and useful formulas to optimally design such integrated systems in a realistic way and we subsequently demonstrate that strong coupling should be achievable using present day photonic crystals and quantum dots, yielding single-exciton vacuum Rabi splittings of around $0.1–1\mathrm{meV}$.