Nonlinear quantum effects in optics

Abstract

Nonlinear optical effects where quantum mechanical predictions are at variance with the results of classical calculations are studied. Certain initial conditions, those of unstable equilibrium or those that lead to unstable equilibrium, classically, give rise to an aperiodicity in the intensity of the emitted radiation. One example of such a system is second-harmonic generation, which is studied in detail because of the potential amenability of the aperiodicity to experimental observation. Numerical and analytic predictions for the evolution of the intensity and photon statistics of the second harmonic light are presented. The photon statistics of the second harmonic light are predicted to undergo a sharp transition following the first maximum of the intensity.