Disagreement between correlations of quantum mechanics and stochastic electrodynamics in the damped parametric oscillator

摘要

Intracavity and external third order correlations in the damped nondegenerateparametric oscillator are calculated for quantum mechanics and stochasticelectrodynamics (SED), a semiclassical theory. The two theories yield greatlydifferent results, with the correlations of quantum mechanics being cubic inthe system's nonlinear coupling constant and those of SED being linear in thesame constant. In particular, differences between the two theories are presentin at least a mesoscopic regime. They also exist when realistic damping isincluded. Such differences illustrate distinctions between quantum mechanicsand a hidden variable theory for continuous variables.