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We study the tunneling mechanism of nonlinear optical processes in solidsinduced by strong coherent laser fields. The theory is based on an extension ofthe Landau-Zener model with nonadiabatic geometric effects. In addition to therectification effect known previously, we find two effects, namely perfecttunneling and counterdiabaticity at fast sweep speed. We apply this theory tothe twisted Schwinger effect, i.e., nonadiabatic pair production of particlesby rotating electric fields, and find a nonperturbative generation mechanism ofthe opto-valley polarization and photo-current in Dirac and Weyl fermions.

Nonadiabatic Nonlinear Optics and Quantum Geometry -- Application to the Twisted Schwinger Effect