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 two-photon anharmonic oscillator with periodically driven term under rotating wave approximation (RWA). The driven term is assumed to be classical. The influence of the periodic force on the amplitude squared squeezing and on the antibunching of photons of the input coherent light are clearly indicated. It is established that the photon bunching and antibunching of the input coherent light coupled to the driven two-photon anharmonic oscillator are possible only if the driven term exists. In absence of nonlinear term (i.e two-photon term), the nonconservation of photon is possible and the generated photons exhibits the bunching effects. With the increase of the dimensionless interaction time, the antibunching of photons exhibit oscillatory behaviour vigorously provided the initial photon number is sufficiently high.

Automated summary

This paper discusses a single mode of the quantized electromagnetic field coupled to a nonlinear medium and derives the solution of a two-photon anharmonic oscillator with a periodically driven term. The influence of the driven term on amplitude squared squeezing and photon antibunching is clearly indicated in the results.