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

Abstract

Intracavity and external third order correlations in the damped nondegenerate parametric oscillator are calculated for quantum mechanics and stochastic electrodynamics (SED), a semiclassical theory. The two theories yield greatly different results, with the correlations of quantum mechanics being cubic in the system's nonlinear coupling constant and those of SED being linear in the same constant. In particular, differences between the two theories are present in at least a mesoscopic regime. They also exist when realistic damping is included. Such differences illustrate distinctions between quantum mechanics and a hidden variable theory for continuous variables.

accepted by PRA

References in corpus (3)

• Coherent molecular solitons in Bose-Einstein condensates
• Contradiction of Quantum Mechanics with Local Hidden Variables for Continuous Variable Quadrature Phase Amplitude Measurements
• Optimal States for Bell inequality Violations using Quadrature Phase Homodyne Measurements

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• Self-Consistent Projection Operator Theory in Nonlinear Quantum Optical Systems: A case study on Degenerate Optical Parametric Oscillators
• Classical and quantum-linearized descriptions of degenerate optomechanical parametric oscillators
• Regularized linearization for quantum nonlinear optical cavities: Application to Degenerate Optical Parametric Oscillators
• Dependence of quantum correlations of twin beams on pump finesse of optical parametric oscillator
• Stochastic Mechanics Without Ad Hoc Quantization: Theory And Applications To Semiclassical Gravity