Quantum dynamics and statistics of two coupled down-conversion processes

In the framework of the Heisenberg-Langevin theory the dynamical and statistical effects arising from a mutual interaction of two non-degenerate down-conversion processes are investigated. Primarily, we focus on the possibility of controlling the intensity and statistical properties of the light generated in one nonlinear medium by the light entering the other one. Apart from this all-optical switching, behaviour reminiscent of the Zeno and anti-Zeno effects is examined. We also show that the model discussed is an interesting generalization of the famous experiments by Zou et al (Zou X Y, Wang L J and Mandel L 1991 Phys. Rev. Lett. 67 318) on induced coherence without induced emission.