  We consider the creation of non-zero Chern-Simons number in a model of the
early Universe, where the Higgs field experiences a fast quench at the end of
inflation and subsequently rolls down its potential barrier. Neglecting the
expansion, we perform numerical lattice simulations in the Abelian Higgs model
in 1+1 dimensions with an added phenomenological C and P violating term during
this stage of so-called tachyonic preheating. The results suggest that even the
sign of the Chern-Simons and thus baryon number is dependent on the ratio of
the Higgs to W mass. We also discuss the appropriate choice of vacuum initial
conditions for classical simulations.
