  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. We perform numerical lattice simulations in the Abelian Higgs model
in 1+1 dimensions and in the SU(2)-Higgs model in 3+1 dimensions with an added
effective CP-violating term. We also comment on the appropriate choice of
vacuum initial conditions for classical simulations.
