Superfluorescence dynamics of OPCPAs in the saturation regime

In this work, we have conducted a numerical analysis of saturation dynamics of quantum-noise contaminated OPCPA employing a new approach which captures the dynamics of energy exchange during amplifier saturation between what will become coherent and incoherent components of the electric field after compression, and well reproduces the macroscopic characteristics observed in experiments upon comparison. Our approach utilizes the correspondence between the evolution equations of quantum mechanical expectation values and the classical Fokker-Planck equations even for nonlinear systems, when the nonlinearity is suitably weak. This allows us to accurately compute quantum-mechanical expectation values from stochastic distributions of a signal and vacuum noise seeded OPCPA system solved numerically from the classical equations of motion.