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Phys. Rev. Lett. 88, 243604 (2002) [4 pages]

Wave Equation for Dark Coherence in Three-Level Media

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J. H. Eberly1 and V. V. Kozlov2
1Rochester Theory Center for Optical Science and Engineering, and Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627
2Abteilung für Quantenphysik, Universität Ulm, Ulm, Germany, 89081

Received 18 March 2002; published 4 June 2002

We report the derivation of a wave equation for coherence in “dark state” two-photon-resonance spectroscopy. One of its consequences is a dark state area theorem. The dark area theorem is a single ordinary differential equation which is globally equivalent, in a way we describe, to the full set of five coupled nonlinear partial differential equations that govern space-time evolution of two-pulse coherence in a lambda medium. The predictions of the dark area theorem are open to test via laser spectroscopy in dilute vapors and inhomogeneously broadened solids.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.243604
DOI:
10.1103/PhysRevLett.88.243604
PACS:
42.50.Gy, 42.50.Md, 42.62.Fi, 42.65.-k