We discuss a system comprising an anharmonic oscillator (nonlinear Ker
r medium) driven by a series of ultra-short coherent pulses. Assuming
that the system was initially in the vacuum state, we compare the clas
sical and quantum dynamics for that system. We refer our results to th
ose concerning nonlinear oscillator driven by quadratic pulses. Moreov
er, we discuss the influence of the type of initial conditions on the
classical results obtained.