A theory of the nonlinear interaction between a single quantum dot (QD) and electromagnetic fields, accounting
the QD-depolarization (local-field) has been developed. QD excitation by classical and quantum electromagnetic
fields such as coherent state of light, Fock qubit and gaussian excitation has been considered. As a result, for the
case of the QD illuminated by coherent states of light, we predict the appearance of two oscillatory regimes in
the Rabi oscillations. In the first one, signatures of Rabi oscillations are found to be suppressed: the population
inversion is negative and the conventional collapse-revivals phenomenon is absent, while in the second one
the collapse and revivals are appeared, showing significant difference as compared to those predicted within the
standard Jaynes-Cummins theory. Under the pulsed excitation, Rabi oscillation dynamics is found to be strongly
depended on the input pulse area and duration.
The influence of local fields on the excitonic Rabi oscillations
in isolated, arbitrary shaped quantum dot (QD) has been theoretically investigated. Hamiltonian of the system "QD+electromagnetic field" has been obtained. Both QD interaction with classical electromagnetic field and ultrashort optical pulse has been considered. As a result, the bifurcation and anharmonism in the Rabi oscillations in a QD exposed to the monochromatic field have been predicted. The dependence of Rabi oscillations period on the QD depolarization parameter, which characterize local field has been obtained. It has been shown, that for the Gaussian pulse the final state of inversion as a function of peak pulse strength demonstrates step-like transitions.