Positive-P phase space method simulation in superradiant emission from a cascade atomic ensemble

TL;DR

This paper uses the positive-P phase space method to numerically simulate superradiant emission in a cascade atomic ensemble, analyzing the dynamics, correlations, and spectral properties of the emitted light.

Contribution

It introduces a numerical simulation approach for superradiant emission in cascade atomic systems using the positive-P phase space method, focusing on correlation functions and spectral characteristics.

Findings

Shorter correlation times in denser ensembles

Broader spectral window for idler pulse storage

Quantitative analysis of signal-idler correlations

Abstract

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.