Four-wave mixing with time-delayed correlated fields of arbitrary bandwidths and pump intensities

Abstract

We consider the generation of four-wave-mixing signals by an ensemble of two-level atoms interacting with broadband, correlated, pump and probe fields in the forward geometry. We show how the calculation of the four-wave-mixing signal reduces to the solution of six coupled Langevin equations that are numerically integrated using Monte Carlo methods. We account for the pump-induced saturation effects although the probe is weak. The finite correlation time of the pump and probe fields is also included. For weak and d-correlated pump fields, we reproduce the results of Morita and Yajima [Phys. Rev. A 30, 2525 (1984)]. We find that even for short correlation times of the fields, the four-wave-mixing signal, as a function of the delay between the pump and the probe fields, starts reviving with increase in the pump intensity. This revival as a function of the pump-probe delay time becomes more pronounced with further increase in the pump intensity.