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The recent accessibility of high quality, charge neutral monolayer transitionmetal dichalcogenides with narrow exciton linewidths at the homogeneous limitprovides an ideal platform to study excitonic many-body interactions. Inparticular, the possibility to manipulate coherent exciton-excitoninteractions, which govern the ultrafast nonlinear optical response, byapplying an external magnetic field has not been considered so far. We addressthis discrepancy by presenting a nonlinear microscopic theory in the coherentlimit for optical excitations in the presence of out-of-plane, in-plane, andtilted magnetic fields. Specifically, we explore the magnetic-field-inducedexciton and biexciton fine structure and calculate their oscillator strengthsbased on a Heisenberg equations of motion formalism. Our microscopicevaluations of pump-probe spectra allow to interpret and predict coherentsignatures in future wave-mixing experiments.

Theory of the Coherent Response of Magneto-Excitons and Magneto-Biexcitons in Monolayer Transition Metal Dichalcogenides