Interferences in adiabatic transition probabilities mediated by Stockes lines

We consider the transition probability for two-level quantum-mechanical systems in the adiabatic limit when the Hamiltonian is analytic. We give a general formula for the leading term of the transition probability when it is governed by N complex eigenvalue crossings. This leading term is equal to a decreasing exponential times an oscillating function of the adiabaticity parameter. The oscillating function comes from an interference phenomenon between the contributions from each complex eigenvalue crossing, and when N=1, it reduces to the geometric prefactor recently studied.

Published in:
Physical Review A, 44, 7, 4280-4295

 Record created 2008-11-27, last modified 2020-04-20

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