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We study nonlinear optical response of graphene in the quantum Hall regime toan intense laser pulse. In particular, we consider harmonic generation process.We demonstrate that the generalized magneto-optical conductivity of graphene onthe harmonics of a strong pump laser radiation has a characteristic Hallplateaus feature. The plateaus heights depend on the laser intensity andbroadening of Landau levels, so that are not quantized exactly. This nonlineareffect remains robust against the significant broadening of Landau levels. Wepredict realization of an experiment through the observation of the thirdharmonic signal and nonlinear Faraday effect, which are within the experimentalfeasibility.

Coherent nonlinear optical response of graphene in the quantum Hall regime