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Using the microscopic nonlinear quantum theory of interaction of strongcoherent electromagnetic radiation with a gapped bilayer graphene is developedfor high harmonic generation at low-energy photon excitation-induced Lifshitztransitions. The Liouville-von Neumann equation for the density matrix issolved numerically at the nonadiabatic multiphoton excitation regime. Bynumerical solutions, we examine the rates of the second and third harmonicsgeneration at the particle-hole annihilation in induced Lifshitz transitions bythe two linearly polarized coherent electromagnetic waves propagating inopposite directions. The obtained results show that the gapped bilayer graphenecan serve as an effective medium for generation of even and odd high harmonicsin the sub-THz domain of frequencies.

Second and third harmonics generation by coherent sub-THz radiation at induced Lifshitz transitions in gapped bilayer graphene