Steady-State Analysis of a Single-Mode Laser Driven by Colored Pump Noise with Cross-Correlation Between Real and Imaginary Parts of Quantum Noise

摘要

Applying the method of the unified colored noise approximation and phase lock, we study in this paper the stationary intensity distribution of the single-mode laser driven by colored pump noise with cross-correlation between the real and imaginary parts of the quantum noise. We present a thorough discussion of how the cross-correlation λ_q between the real and imaginary parts of the quantum noise and the self-correlation time τ of the pump noise determine the behaviors of the stationary distribution Q_(st) (Ⅰ), the mean <Ⅰ>, and the variance λ_2(0) of the laser intensity. It is shown that cross-correlation intensity λ_q of the complex quantum noise can induce a first-order-like transition. When the pump noise is colored noise (τ ≠ 0), improving the pump parameters monotonously will make the curves of Q_(st) (Ⅰ) exhibit reentrant phase transition. The fluctuations of laser intensity are strongly influenced by λ_q and τ when the laser is operated near or below threshold. Especially when τ ≠ 0, the heights of the peaks of the curves of λ_2(0) -a_0 and λ_3(0)-a_0, (here a_0 is the net gain coefficient) go up as λ_q increases. However the entire curves of λ_2(0)-a_0 and λ_3(0)-a_0 are abruptly suppressed when λ_q = 1, in similarity to phase transition of stationary intensity distribution.