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Floquet engineering offers a path to optically-controlled materials, butexperimental implementations have frequently relied on femtosecond pulses toachieve the high peak fields required to maximise interactions and obtain ameasurable response. The Floquet formalism, however, is based on a continuous,periodic drive. Here we use femtosecond laser pulses to drive the optical Starkeffect, a simple realization of Floquet engineering, in monolayer WS2. Bymonitoring the coherent evolution of the free-induction decay, we show that thesystem evolves adiabatically, and that the finite duration of the pulses doesnot introduce any effects beyond Floquet theory. Furthermore, we demonstratethat the induced energy shift follows a linear dependence on instantaneousintensity, even for ultrafast driving fields of fewer than 15 optical cycles.

Coherent Dynamics of Floquet-Bloch States in Monolayer WS2 Reveals Fast Adiabatic Switching