On the photon antibunching and amplitude squared squeezing of coherent light coupled to a periodically driven anharmonic oscillator

A single mode of the quantized electromagnetic field coupled to a nonlinear medium leads to the model of an anharmonic oscillator. For third-order nonlinear medium, the corresponding anharmonic oscillator will be a quartic one. Under the rotating wave approximation (RWA), it is possible to get rid of the nonconserving energy terms and hence a two-photon anharmonic oscillator out of the quartic anharmonic oscillator. We derive the solution of a...