  Precision measurements of parity non-conserving (PNC) interactions in atoms,
molecules and ions can lead to the discovery of new physics beyond the standard
model and understanding of weak-force induced interactions in the nucleus. In
this paper, we propose and analyze a novel atomic parity violation measurement
scheme for a forbidden transition where we combine a two-pathway coherent
control mechanism with probe gain techniques. We detail a feasible experimental
geometry for $6S_{1/2}\rightarrow 7S_{1/2}$ transitions in a cesium vapor cell,
and consider the statistical noise of such a measurement under reasonable
laboratory conditions. We estimate the signal-to-noise ratio to be approaching
$\sim2.3/\sqrt{Hz}$. This scheme, with low expected systematic errors, would
allow for precise measurements in cesium and other heavy metal systems.
