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Nonlinear Dynamics of Photons in Lossy, Coupled Photonic Crystal Cavities


There has been a great dealt of interest in recent years in developing nanophotonic systems for use as single-photon and entangled photon sources.  One promising class of such systems is semiconductor photonic crystal slabs that contain line and/or point defects.  In this talk I will discuss the formalism that we have developed to model nonlinear photon generation and propagation in coupled-defect cavities in photonic crystal slabs.  The key to our approach is the non-hermitian projection of the photon dynamics onto a set of lossy and potentially non-orthogonal cavity quasi-modes.  I will apply our approach to single quantum dots coupled to multiple cavities and to photon pair generation due to spontaneous four-wave mixing in coupled optical resonator waveguides.