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Bright excitons in ferromagnetic monolayers CrI efficiently interact with lattice magnetization, which makes possible all-optical resonant magnetization control in this material. Using the combination of ab-initio simulations within Bethe-Salpeter approach, semiconductor Bloch equations and Landau-Lifshitz equations, we construct a microscopic theory of this effect. Solving numerically the resulting system of the coupled equations describing the dynamics of atomic spins and spins of the excitons, we demonstrate the possibility of a tunable control of macroscopic magnetization of a sample.

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