Ultrafast nonlinear optical phenomena in solids have
been attracting
a great deal of interest as novel methodologies for the femtosecond
spectroscopy of electron dynamics and control of the properties of
materials. Here, we theoretically investigate strong-field nonlinear
optical transitions in a prototypical two-dimensional material, hBN,
and show that the k-resolved conduction band charge
occupation patterns induced by an elliptically polarized laser can
be understood in a multiphoton resonant picture, but, remarkably,
only if using the Floquet light-dressed states instead of the undressed
matter states. Our work demonstrates that Floquet dressing affects
ultrafast charge dynamics and photoexcitation even from a single pump
pulse and establishes a direct measurable signature for band dressing
in nonlinear optical processes in solids, opening new paths for ultrafast
spectroscopy and valley manipulation