Curve crossing in linear potential grids: The quasidegeneracy approximation

V. A. Yurovsky, A. Ben-Reuven

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The quasidegeneracy approximation [V. A. Yurovsky, A. Ben-Reuven, P. S. Julienne, and Y. B. Band, J. Phys. B 32, 1845 (1999)] is used here to evaluate transition amplitudes for the problem of curve crossing in linear potential grids involving two sets of parallel potentials. The approximation describes phenomena, such as counterintuitive transitions and saturation (incomplete population transfer), not predictable by the assumption of independent crossings. Also, a new kind of oscillations due to quantum interference (different from the well-known Stückelberg oscillations) is disclosed, and its nature discussed. The approximation can find applications in many fields of physics, where multistate curve crossing problems occur.

Original languageEnglish
Article number043404
Pages (from-to)1-8
Number of pages8
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number4
StatePublished - 2001


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