  We present an analysis of systematic sources of uncertainty in a recently
proposed scheme for measurement of nuclear-spin-dependent atomic parity
violation using two-photon J=0-to-1 transitions driven by collinear photons of
the same frequency in the presence of a static magnetic field. Two important
sources of uncertainty are considered: misalignment of applied fields, and
stray electric and magnetic fields. The parity-violating signal can be
discriminated from systematic effects using a combination of field reversals
and analysis of the Zeeman structure of the transition.
