Abstract
By means of the unified coloured noise approximation and phase lock, we study in this paper the stationary intensity distribution of the single-mode laser cubic model driven by coloured 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 λq between the real and imaginary parts of the quantum noise and the self-correlation time τ of the pump noise determine the behaviours of the mean intensity I and variance λ2(0) for both below and above the threshold operation and many new phenomena are discovered. When the laser is operated above the threshold, increasing the cross-correlation intensity λq makes the I–τ curves exhibit a ``re-entrant phase transition''. Whether the laser is above or below the threshold, the whole I–τ curve moves down as λq increases; however, when λq = 1 (perfect cross-correlation), the curve abruptly runs up. A nonzero value of cross-correlation time τ (τ≠0) leads to the entire λ2(0)–p' curve being suppressed (here p' is the pump noise intensity). This indicates the increasing precision of the laser beam due to the existence of the self-correlation time τ. The behaviour of the λ2(0)–p' curve as a function of λq is similar to that of the I–τ curve against λq: that is, whether the laser is above or below the threshold, the λ2(0)–p' curve moves up as λq increases; however, when λq = 1, the curve suddenly moves down. Through the study in this paper, we can find a way to optimize for output laser intensity.
Published Version
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