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We report non-invasive detection of spin coherence in a collection ofRaman-driven cold atoms using dispersive Faraday rotation fluctuationmeasurements, which opens up new possibilities of probing spin correlations inquantum gases and other similar systems. We demonstrate five orders ofmagnitude enhancement of the measured signal strength than the traditional spinnoise spectroscopy with thermal atoms in equilibrium. Our observations are ingood agreement with the comprehensive theoretical modeling of the driven atomsat various temperatures. The extracted spin relaxation rate of cold rubidiumatoms with atom number density $\sim$10$^9/$cm$^3$ is of the order of2$\pi\times$0.5 kHz at 150 $\mu$K, two orders of magnitude less than $\sim$2$\pi\times$50 kHz of a thermal atomic vapor with atom number density$\sim$10$^{12}/$cm$^3$ at 373 K.

Detection of Spin Coherence in Cold Atoms via Faraday Rotation Fluctuations