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Multi-photon dynamics in multiple coupled-cavity defects in photonic crystal slabs

We present a formalism for calculating the multiple-quantum-dot-photon dynamics in coupled-cavity photonic crystal slab systems by projecting the Hamiltonian onto non-orthogonal photon quasimodes and applying the quantum jump technique. We apply this approach to the correlated emission by two quantum dots and demonstrate the importance of the non-orthogonality of the quasimodes.