We employ a quantum theory of the nonlinear optical response from an actualsolid-state material possessing an intrinsic bulk contribution to thethird-order nonlinear susceptibility (Kerr-type nonlinearity), which can bearbitrarily nanostructured to achieve diffraction-limited electromagnetic fieldconfinement. By calculating the zero-time delay second-order correlation of thecavity field, we set the conditions for using semiconductor or insulatingmaterials with near-infrared energy gaps as efficient means to obtainsingle-photon nonlinear behavior in prospective solid-state integrated devices,alternative to ideal sources of quantum radiation such as, e.g., singletwo-level emitters.
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