Triphoton correlations in six-wave mixing

The generation of nonclassical multiphoton has aroused and renewed interest in recent years. Here, we theoretically propose a new method to generate a temporal triplet correlation via a spontaneous six-wave mixing process. In the dressed-state picture at atomic ensemble, we forecast two or more different resonant dispersion modes of each generated photons. With energy conservation condition, these resonant dispersion modes compose multiple six-wave mixing processes, and the different processes could beat with each other. When we only consider the nonlinear optical response, the coincidence counts of triplets perform as a damped Rabi oscillation (three conditional two-photon correlations with four or six periods) because of the destructive interference among the possible six-wave mixing processes. The coherent time in the system is determined by the effective dephasing rate. Furthermore, we study the triphoton correlation with the fifth-order nonlinear susceptibility and the phase matchings mixing.