Population transfer in a level-crossing model with two time scales

Abstract
We set up a level-crossing model with two time scales and compare the numerically calculated probability transfer with several analytic results. We also examine the probability transfer in the adiabatic limit and make a comparison with a calculation based on the approach of Dykhne [Sov. Phys.—JETP 11, 411 (1960); 14, 941 (1962)] and of Davis and Pechukas [J. Chem. Phys. 64, 3129 (1976)]. We find that we can get an improved agreement if we modify their approach.

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