Quantum initiation effects on the asymptotic coherent on‐resonance propagation of two different‐wavelength probe and pump beams in a three‐level system

The coherent energy transfer from a strong pump beam at a given frequency to a weak probe beam initiated by quantum noise at another frequency is reported. Effects of self‐ and cross‐phase modulation were also examined. An optimal energy exchange is maintained in the presence of fluctuations by matching the oscillators strengths to insure maximum pulse overlap throughout the motion. The central role of pump depletion, transverse effects, quantum initiation and time‐ and radial‐dependent phase variations in an asymptotic co‐propagation in a three‐level medium is revealed. An ensemble of statistical calculations is carried out. For most trajectories a stabilization of the pulse area is inhibited. Probe pulse sharpening and pump laser pulse peak retardation along with amplitude dimension, have been observed.