We show how control lasers lead to subnatural linewidths in spontaneou
s emission as well as to the quenching of the quantum noise. We trace
this quenching to the dispersive contributions to the line shape. We o
btain analytical expressions for linewidths that for boolean AND syste
ms are half the natural linewidths with the possibility of much more r
eduction for detuned control laser. We further present a simple physic
al analysis in terms of a two-photon Fermi golden rule to understand c
ancellation of spontaneous emission. Finally, we relate our results to
recent experiments.