We have constructed a theoretical framework of biexciton-resonant hyperparametric scattering for pursuit of high-power and high-quality generation of entangled-photon pairs. Our framework is applicable to the nano-to-bulk crossover regime where the center-of-mass motions of excitons and biexcitons are confined and material surroundings and the polarization correlation of generated photons can be considered. We have analyzed the generation of ultraviolet entangled photons from CuCI film with and without dielectric microcavity and revealed that in the nano-to-bulk crossover regime we generally get a high performance from the viewpoint of statistical accuracy and the generation efficiency can be enhanced by the optical cavity while maintaining the high performance. The nano-to-bulk crossover regime has a variety of degrees of freedom to control the entangled-photon generation, and the scattering spectra explicitly reflect quantized exciton-photon coupled modes in finite structures.
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