Triple correlations in non-degenerate parametric oscillators
Peter D. Drummond, Paul Kinsler
Department of Physics
University of Queensland
Queensland 4072
Australia
Quantum Optics 7, 727 (1995).
We calculate the triple quadrature correlations in non-
degenerate quantum parametric amplifiers and oscillators.
Firstly, at low signal intensities, a highly non-classical triple
correlation can emerge in a parametric amplifier. This cannot be
represented using the positive Wigner function approximation,
sometimes called the semiclassical method. For this reason,
measurements of triple quadrature correlations are a very strong
test of stochastic electrodynamics and other hidden variable
theories. As the corresponding local oscillator measurements
involve a macroscopic particle flux at the detector, a high
detector efficiency is possible. We show that triple correlations
also feature in the critical fluctuations of the non-degenerate
quantum parametric oscillator at threshold. This result allows us
to asymptotically calculate the critical squeezing produced for
large system size.
Email: Dr.Paul.Kinsler@physics.org