Dark Area Theorem
J. H. Eberly, V. V. Kozlov
Abstract
We report the discovery of a "dark area theorem," a new quantum optical relation for propagation of unmatched pulses in thick three-level Λ-type media. We define dark area and derive the dark area theorem for a coherently prepared and inhomogeneously broadened lambda medium. We also obtain the first equation for the spatial evolution of the dark state amplitude prior to pulse-matching.
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