Abstract
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 λ and correlation time τ determine the behaviors of the mean intensity 〈 I〉 and variance λ 2(0). A nonzero value of noise cross-correlation ( λ≠0) leads to the entire λ 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 λ. A combined consequence of τ≠0 and λ≠0 is the changing number of extrema in the λ 2(0)– P′ curve, which is similar to the different phases of stationary intensity distribution. When the net gain coefficient is increased monotonously, the λ 2(0)– P′ curves exhibit reentrant phase transition, in similarity to what occurs in the stationary intensity distribution.
Published Version
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