Abstract
The effect of the incoherent pumping of excitons on the optical rectification of a nanostructure that interacts with a monochromatic classical optical field is studied theoretically, by solving a Born-Markov master equation in the Lindblad form that includes the processes of spontaneous emission, dephasing, and incoherent pumping of excitons between two levels of the nanostructured quantum system. In addition, the quantum vacuum of the electromagnetic field that affects the nanostructure was considered as an environment for the system. An analytical expression for the optical rectification was found in terms of the incoherent pumping rate of excitons P in which a weak pumping regime and a strong pumping regime are evidenced.
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