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State selective preparation and manipulation of discrete-level quantumsystems such as atoms, molecules or quantum dots is a the ultimate tool formany diverse fields such as laser control of chemical reactions, atom optics,high-precision metrology and quantum computing. Rabi oscillations are one ofthe simplest, yet potentially quite useful mechanisms for achieving suchmanipulation. Rabi theory establishes that in the two-level systems resonantdrive leads to the periodic and complete population oscillations between thetwo system levels. In this paper an analytic optimization algorithm forproducing Rabi-like oscillations in the general discrete many-level quantumsystems is presented.Comment: Published in Phys.Rev.A. This is the final published versio

Analytic pulse design for selective population transfer in many-level quantum systems: Maximizing the amplitude of population oscillations