Cooperative atomic scattering of light from a laser with a colored noise spectrum

The collective atomic recoil lasing is studied for an ultra-cold and collisionless atomic gas in a partially coherent pump with a colored noise. Compared to white noise, correlations in colored noise are found to be able to greatly enhance or suppress the growth rate, above or below a critical detuning. Effects on cooperative scattering of light for noise correlation time, noise intensity and pump-probe detuning are discussed. This result is consistent with our simulation and linear analysis about the evolution equations in the regions of instability.