TY - JOUR

T1 - Counterintuitive transitions in multistate curve crossing involving linear potentials

AU - Yurovsky, V. A.

AU - Ben-Reuven, A.

AU - Julienne, P. S.

AU - Band, Y. B.

PY - 1999/4/28

Y1 - 1999/4/28

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0346408795&partnerID=8YFLogxK

U2 - 10.1088/0953-4075/32/8/306

DO - 10.1088/0953-4075/32/8/306

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AN - SCOPUS:0346408795

SN - 0953-4075

VL - 32

SP - 1845

EP - 1857

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

IS - 8

ER -