TITLE:
Some New Features of Photon Statistics in a Fully Quantized Parametric Amplification Process
AUTHORS:
Joseph Akeyo Omolo
KEYWORDS:
Quantized Parametric Amplification, Jaynes-Cummings Interaction, Fluctuation State Vectors, Fractional Revivals, Interference, Positive-Negative Helicity Intensity/Polarization Operators, SU(1, 1) Symmetry Group
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.8,
May
30,
2014
ABSTRACT: An exact
quantum treatment reveals that signal and idler photon number operators are not
well-behaved dynamical operators for studying photon statistics in parametric
amplification/down-conversion processes. Contrary to expectations, the mean
signal-idler photon number difference varies with time,
while the corresponding signal-idler photon number cross-correlation function
is complex and
experiences an interference phenomenon driven by the interaction parameters.
The intensity operators and related polarization operators of the polarized
signal-idler photon pair in positive and negative helicity states are
identified as the appropriate operators specifying a conservation law and the
dynamical symmetry group (SU(1, 1))
of the parametric amplification process. The conservation of the mean positive
and negative helicity photon intensity difference and the purely real
positive-negative helicity intensity cross-correlation function correctly
account for the simultaneous production of polarized signal and idler photons
in positive and negative helicity states.