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It is known that cross-correlation between the random intensity fluctuationsof two lasers forming electromagnetically-induced transparency (EIT) exhibits atransition from correlation to anticorrelation. We study the linewidth behaviorof this transition and have found the linewidth is below the (effective)coherence lifetime limit and is only limited by competing noises. Weestablished a numerical model which reveals the linewidth dependence on laserlinewidth and laser power. Our experiments using lasers with differentlinewidth showed results in qualitative agreement with the model. This resultis useful for quantum optics using EIT, and may also have applications inspectroscopy and precision measurements.

Transition linewidth of cross-correlations in random intensity fluctuations in EIT