Adiabatic inversion in an array of spherical microcrystals under conditions of the Stark effect

A model of the process of adiabatic tracking on a system of size-quantized levels of isolated spherical quantum dots (QDs) in an electric field is proposed, which, due to the Stark effect, creates intervals between levels varied by the field. The method of perturbation theory for degenerate states is used to analyze the splitting and partial lifting of the degeneracy of levels in the lower part of the spectrum of a spherical QD. Using the pseudospin electric dipole vector model, we study the process of adiabatic inversion on a system of selected pairs of QD levels, the energy intervals between which are subject to a monotonous change by an external electric field. The course of the process of adiabatic tracking is analyzed in the case of a linear dependence of the electric field on time, at different values of the amplitude of the radiation pulse field. An asymmetry in the course of change in the amplitude profile of the inversion oscillations is revealed, which can affect the process of detecting non-stationary stimulated amplification. It is pointed out that it is possible to trace the inversion process, when the variation of the resonance detuning can be determined by the selection of the radii of the spherical QDs.