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We report on the theoretical investigation of photonic crystal cavitiesetched on a suspended membrane for the generation of polarization entangledphoton pairs using the biexciton cascade in a single quantum dot. Theimplementation of spontaneous emission enhancement effect increases theentanglement visibility, while the concomitant preferential funneling of theemission in the cavity mode increases the collection of both entangled photons.We demonstrate and quantify that standard cavity designs present a polarizationdependent emission diagram, detrimental to entanglement. The optimization of H1cavities allows to obtain both high collection efficiencies and polarizationindependent emission, while keeping high Purcell factors necessary for highquality entangled photon sources.

Optimizing H1 cavities for the generation of entangled photon pairs