Moments of intensity of single-mode laser driven by additive and multiplicative colored noises with colored cross-correlation

Applying an approximative Fokker-Planck equation we recently derived for a system driven by a multiplicative colored noise and an additive colored noise that are cross-correlated, we study, in this Letter, the stationary intensity distribution of the single-mode laser cubic model with correlated pump noise and quantum noise which each is colored. We present a thorough discussion of how the noise cross-correlation intensity lambda and correlation time tau determine the behaviors of the mean intensity <I> and variance lambda(2) (0). A nonzero value of noise cross-correlation (lambda not equal 0) leads to the entire lambda(2)(0)-P' curve being suppressed (here P' is the pump noise intensity). This indicates increased precision of laser beam due to the existence of the cross-correlation X. A combined consequence of tau not equal 0 and lambda not equal 0 is the changing number of extrema in the lambda(2)(0)-P' curve, which is similar to the different phases of stationary intensity distribution. When the net gain coefficient is increased monotonously, the lambda(2)(0)-P' curves exhibit reentrant phase transition, in similarity to what occurs in the stationary intensity distribution. (C) 2002 Published by Elsevier Science B.V.