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Physical Review A

Validity of the Rosen-Zener conjecture for Gaussian-modulated pulses

Gerald F. Thomas

Published May 1, 1983• 40 citations
Publisher

Abstract

Using the Magnus approximation we show that the Rosen-Zener conjecture holds for a two-level system in near-resonant interaction with a Gaussian-modulated pulse of sufficiently short duration.Received 25 May 1982DOI:https://doi.org/10.1103/PhysRevA.27.2744©1983 American Physical Society

DOI
10.1103/physreva.27.2744

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Using the Magnus approximation we show that the Rosen-Zener conjecture holds for a two-level system in near-resonant interaction with a Gaussian-modulated pulse of sufficiently short duration.Received 25 May 1982DOI:https://doi.org/10.1103/PhysRevA.27.2744©1983 American Physical Society
In a recent paper, Bambini and Berman [A. Bambini and P. R. Berman, Phys. Rev. A 23, 2496 (1981)] presented analytic solutions to a certain family of coherent-coupling pulses for a two-level system. They show, for nonresonant temporally asymmetric members of the class, that there are no solutions corresponding to vanishing transition probabilities. In this Comment, we examine the problem in greater generality and demonstrate that this property is the norm for asymmetric pulses, and that a vanishing transition probability is possible only if severely overdetermined conditions are satisfied.