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