  The superradiant emission properties from an atomic ensemble with cascade
level configuration is numerically simulated. The correlated spontaneous
emissions (signal then idler fields) are purely stochastic processes which are
initiated by quantum fluctuations. We utilize the positive-P phase space method
to investigate the dynamics of the atoms and counter-propagating emissions. The
light field intensities are calculated, and the signal-idler correlation
function is studied for different optical depths of the atomic ensemble.
Shorter correlation time scale for a denser atomic ensemble implies a broader
spectral window needed to store or retrieve the idler pulse.

Quantum Physics