Stochastic resonance in a single-mode laser driven by the colored pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts

We present an analytic investigation of the signal-to-noise ratio of output intensity in a loss-noise model of a single-mode laser system driven by the colored pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts. Stochastic resonance (SR) in the curve of signal-to-noise ratio R versus the pump noise self-correlation time tau, signal frequency Omega, and cross-correlation coefficient between the real and imaginary parts of the quantum noise lambda(q) are found. It extends the conclusion of the typical SR, that is, "there is a maximum in the curve of R vs noise intensity". Moreover, we detect that, when the parameter Omega increases, the shape of the R-tau curve will exhibit a change process of multiform SR: the curve experienced from simultaneous existence of resonances and suppressions to single-peak SR and finally to the monotonous rise. And when the parameter tau increases, the shape of the R-Omega curve also exhibit a change process of multiform SR: the curve experienced from the monotonous rise to the simultaneous existence of resonances and suppressions and finally to the monotonous descending. For the R-lambda(q) curve, it appears an acute single-peak form.