Long-term effect of inter-mode transitions in quantum Markovian process

The combinatorial frequency generation by periodic and quasiperiodic stacks of nonlinear semiconductor layers has been studied in the self-consistent problem formulation, taking into account mobility of carriers. The three-wave mixing technique is applied to study the nonlinear processes. It is shown that the mixing processes in passive semiconductor structures are driven by the competitive effects of the collision of charges and resonance interactions of carriers with pump waves. The effects of the pump wave dissipation, layer parameters and stack arrangements on the efficiency of the combinatorial frequency generation are discussed.