  Amplification by stimulated emission of radiation provides an intriguing
means for increasing the sensitivity of Atomic Parity Violation (APV)
measurements in a pump-probe configuration well adapted to the 6S-7S cesium
transition. It takes advantage of the large number of atoms excited along the
path of the pump beam. In the longitudinal E-field configuration currently
exploited in an ongoing APV measurement, this number is limited only by the
total voltage sustainable by the Cs vapor. In order to overcome this limit, we
consider, both theoretically and experimentally, the possibility of performing
the measurements in a transverse E-field configuration requiring a much lower
voltage. We discuss the necessarily different nature of the observable and the
magnetoelectric optical effects entering into play. They condition
modifications of the experimental configuration with, in particular, the
application of a transverse magnetic field. We suggest the possibility of
rotating the transverse direction of the fields so as to suppress systematic
effects. With a long interaction length, a precision reaching 0.1 percent in a
quantum noise limited measurement can be expected, now limited only by the
necessity of operating below the threshold of spontaneous superradiant emission
of the excited medium. If we approached this limit, however, we could greatly
amplify the asymmetry using triggered superradiance.
