  We analyze the dynamics of the return amplitude following a sudden quench in
the three-state quantum Potts chain. For quenches crossing the quantum critical
point from the paramagnetic to the ferromagnetic phase, the corresponding rate
function is non-analytic at critical times and behaves linearly in their
vicinity. In particular, we find no indication of a link between the time
evolution close to the critical times and the scaling properties of the quantum
critical point in the Potts chain.
