Testing quantum mechanics using third order correlations

Paul Kinsler

    Department of Physics, 
    University of Sheffield, 
    Sheffield S3 7RH, 
    United Kingdom.

    Phys. Rev. A 53, 2000 (1996). 

Semiclassical theories similar to stochastic electrodynamics are
widely used in optics.  The distinguishing feature of such
theories is that the quantum uncertainty is represented by random
statistical fluctuations.  They can successfully predict some
quantum mechanical phenomena --- for example, the squeezing of the
quantum uncertainty in the parametric oscillator.  However, since
such theories are not equivalent to quantum mechanics, they will
not always be useful.  Complex number representations can be used
to to exactly model the quantum uncertainty, but care has to be
taken that approximations do not reduce the description to a
hidden variable one.  This paper helps show the limitations of
"semiclassical theories", and helps show where a true quantum
mechanical treatment needs to be used. Third order correlations
are a test that provides a clear distinction between quantum and
hidden variable theories in a way analogous to that provided by
the 'all or nothing' GHZ test of local hidden variable theories.  





Email: Dr.Paul.Kinsler@physics.org