  Enhanced sensitivity in electromagnetically induced transparency (EIT) can be
obtained by the use of noise correlation spectroscopy between the fields
involved in the process. Here, we investigate EIT in a cold ($< 1$ mK) rubidium
vapor and demonstrate sensitivity to detect weak light-induced forces on the
atoms. A theoretical model is developed and shows good agreement with our
measurements, enabling the attribution of the observed effects to the coupling
of the atomic states to their motion. The effects remain unnoticed on the
measurement of the mean fields but are clearly manifest in their correlations.
