噪声间关联对原子激光谱密度的影响

Effects of Correlation between Noises on the Spectral Density of Atom Laser

在描述原子激光强度的速率方程中 ,考虑了量子噪声和热噪声、以及它们的关联以后 ,计算了原子激光的关联函数和功率谱密度。发现不仅噪声对原子激光的统计性质有影响 ,而且 ,噪声间的关联会使得原子激光的谱密度发生从单峰到双峰、或三峰的相变。这种相变可以用凝聚体干涉条纹间距的变化来观察。

Expressions are derived for the correlation function and the spectral density of an atom laser driven by a colored noise and a white noise, with a correlation of the exponential form. The spectral density displays one, two or three peaks, depending on the correlation strength between noises. A possible way of measuring the spacing of interference pattern is suggested to demonstrate this multi peak feature in the experiment. Effects of the correlation time of noises on the spectral density also are discussed.