Abstract
A Hamiltonian describing the interaction of a two-level system with an oscillator and an external field that induces transitions between the two levels is analyzed using the quantum mechanical (QM) solution and a semiclassical (SC) approximation. The Hamiltonian can describe coherent optical transitions and coherences in electron transfer processes. We focus on strongly driven systems where coherent oscillations of the populations of the two-level system are important and show that in this regime the SC approximation is a good representation of the QM behavior. The results are interpreted by constructing appropriate Landau-Zener-Massey parameters.
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