Magnetoelectronic properties of graphene dressed by a high-frequency field

We solved the Schr\"odinger problem for electrons in graphene subjected to both a stationary magnetic field and a strong high-frequency electromagnetic wave (dressing field). The found solutions of the problem are used to describe the magnetoelectronic properties of dressed graphene. It follows from the present analysis that both optical characteristics and electronic transport are very sensitive to the dressing field. Particularly, the field strongly changes the spectra of optical absorption and the Shubnikov-de Haas oscillations. As a result, the developed theory opens a way for controlling magnetoelectronic properties of graphene with light.