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Second-order optical processes lead to a host of applications in classicaland quantum optics. With the enhancement of parametric interactions that arisedue to light confinement, on-chip implementations promise very-large-scalephotonic integration. But as yet there is no route to a device that acts at thesingle photon level. Here we exploit the $\chi^{(3)}$ nonlinear response of aSi$_{3}$N$_{4}$ microring resonator to induce a large effective $\chi^{(2)}$.Effective second-order upconversion (ESUP) of a seed to an idler can beachieved with 74,000 %/W efficiency, indicating that single photon nonlinearityis within reach of current technology. Moreover, we show a nonlinear couplingrate of seed and idler larger than the energy dissipation rate in theresonator, indicating a strong coupling regime. Consequently we observe aRabi-like splitting, for which we provide a detailed theoretical description.This yields new insight into the dynamics of ultrastrong effective nonlinearinteractions in microresonators, and access to novel phenomena and applicationsin classical and quantum nonlinear optics.

Strong Nonlinear Coupling due to Induced Photon Interaction on a Si$_{3}$N$_{4}$ Chip