  We study the interplay of strong correlations and coherent driving by
considering the strong-coupling Kondo model driven by a time-periodic bias
voltage. Combining a recent nonequilibrium renormalization group method with
Floquet theory, we find that by the coherent dressing of the driving field
side-replicas of the Kondo resonance emerge in the conductance, which are not
completely washed out by the decoherence induced by the driving. We show that
to accurately capture the interplay of driving and strong correlations one
needs to go beyond simple phenomenological pictures, which underestimate
decoherence, or adiabatic approximations, highlighting the relevance of
non-Markovian memory effects. Within our method the differential conductance
shows good quantitative agreement with experimental data in the full crossover
regime from weak to strong driving. We analyze memory effects in detail based
on the response to short voltage pulses.
