A new exactly solvable two-state model with an asymmetric pulse shape and a constant detuning is presented. It is an asymmetrized generalization of the Rosen-Zener model. The final populations of the states are expressed in terms of elementary functions and the phase of the gamma function. In contrast to the temporary asymmetric pulses studied so far, the transition probability in this model can vanish for a number of combinations of the free parameters.
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Nikolay V. Vitanov (1994) studied this question.
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