Abstract
We discuss non-perturbative aspects of the Floquet picture for the interaction of single mode strong laser fields with electrons. In numerical studies we show that this system stays adiabatic to a surprising degree: for smooth pulses, adiabaticity holds even for very short pulse-length (down to the order of 10 cycles) except for transitions at avoided crossings sharply located in time. The latter are seen to act as interferometers, a non-adiabatic pumping mechanism is proposed. Non-perturbative aspects of multi-photon transitions are clarified.
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