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Non-Markovian effects arising in open quantum systems evolution have been asubject of increasing interest over the past decade. One of the most appealingfeatures of non-Markovianity (NM) is that it captures scenarios where loss ofinformation and coherence are reversible, and thus a temporary backflow ofinformation from the environment to the system is possible. In this work westudy the interplay between the degree of non-Markovianity and the action oftime-dependent control fields in an open two-level quantum system. We find thatperiodical modulation of a field acting solely on the system can greatlyenhance the degree of non-Markovianity with respect to the undriven case. Weshow that this effect is present only when the coupling between system andenvironment is weak. Remarkably, the enhancement disappears at strong coupling,which is usually the regime where non-Markovian effects are expected to be morepronounced.

Driving-induced amplification of non-Markovianity in open quantum systems evolution