We report on progress towards performing precision measurements of parity
violation in Yb, in which the theoretical prediction for a strong
weak-interaction-induced effect in the 6s^{2} ^{1}S_{0} \rightarrow 5d6s
^{3}D_{1} optical transition at 408 nm has already been confirmed, with a
measurement of the effect at the \approx 10 % level of accuracy. With a new
atomic-beam apparatus offering enhanced sensitivity, we are aiming at precisely
determining the parity violation observable in Yb, which will allow us to probe
the distributions of neutrons in different isotopes, investigate physics beyond
the Standard Model, as well as to study intra-nucleus weak interactions,
through an observation of the anapole moment of Yb nuclei with nonzero spin. We
present the experimental principle employed to probe atomic parity violation,
describe our new apparatus, and discuss the attained experimental sensitivity
as well as the methods for characterizing systematics in these measurements