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

Abstract

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 τ,signal frequency Ω,and cross-correlation coefficient between the real and imaginary parts of the quantum noise λq 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 Ω increases,the shape of the Rτ curve will exhibit a change process of multiform SR: the curve experienced from simulta neous existence of resonances and suppressions to single-peak SR and finally to the monotonous rise. And when the parameter τincreases,the shape of theRΩ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λq curve,it appears an acute single-peak form.