Counterintuitive transitions in multistate curve crossing involving linear potentials

V. A. Yurovsky, A. Ben-Reuven, P. S. Julienne, Y. B. Band

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Two problems incorporating a set of horizontal linear potentials crossed by a sloped linear potential are solved analytically and compared with numerical results: (a) the case where boundary conditions are specified at the ends of a finite interval and (b) the case where the sloped linear potential is replaced by a piecewise-linear sloped potential and the boundary conditions are specified at infinity. In the approximation of small gaps between the horizontal potentials, an approach similar to the one used for the degenerate problem (Yurovsky V A and Ben-Reuven A 1998 J. Phys. B: At. Mol. Opt. Phys. 31 1) is applicable for both problems. The resulting scattering matrix has a form different from the semiclassical result obtained by taking the product of Landau-Zener amplitudes. Counterintuitive transitions involving a pair of successive crossings, in which the second crossing precedes the first one along the direction of motion, are allowed in both models considered here.

Original languageEnglish
Pages (from-to)1845-1857
Number of pages13
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Issue number8
StatePublished - 28 Apr 1999

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics


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