Resonant cascaded down-conversion

Abstract

We analyze an optical parametric oscillator (OPO) in which cascaded down-conversion occurs inside a cavity resonant for all modes but the initial pump. Due to the resonant cascade design, the OPO presents two χ (2) -level oscillation thresholds that are therefore much lower than for a χ (3) OPO. This is promising for reaching the regime of an effective third-order nonlinearity well above both thresholds. Such a χ (2) cascaded device also has potential applications in frequency conversion to far-infrared regimes. But, most importantly, it can generate novel multipartite quantum correlations in the output radiation, which represent a step beyond squeezed or entangled light. The output can be highly non-Gaussian and therefore not describable by any semiclassical model. In this paper, we derive quantum stochastic equations in the positive-P representation and undertake an analysis of steady-state and dynamical properties of this system.

High-efficiency cascaded up and down conversion in nonlinear Kerr cavities

“…Most studies focus on the down conversion in χ (2) materials, and even do not even consider using χ (3) materials because of their low efficiencies. Some of previous work has studied the three photon spontaneous parametric down conversion (SPDC) in χ (3) optical bulk materials [43], fibers [44], resonators [45][46][47][48] by both semiclassical or quantum field theory. However, threephoton SPDC has a very high threshold power; thus the conversion efficiency is typically extremely low (∼ 10 −20 [44]).…”