Disagreement between correlations of quantum mechanics and stochastic electrodynamics in the damped parametric oscillator - art. no. 042108

Intracavity and external third order correlations in the damped nondegenera te parametric oscillator are calculated for quantum mechanics and stochasti c electrodynamics (SED), a semiclassical theory. The two theories yield gre atly different results, with the correlations of quantum mechanics being cu bic in the system's nonlinear coupling constant and those of SED being line ar in the same constant. In particular, differences between the two theorie s are present in at least a mesoscopic regime. They also exist when realist ic damping is included. Such differences illustrate distinctions between qu antum mechanics and a hidden variable theory for continuous variables.