Joye, AlainMileti, G.Pfister, Charles-Edouard2008-11-272008-11-272008-11-27199110.1103/PhysRevA.44.4280https://infoscience.epfl.ch/handle/20.500.14299/31934WOS:A1991GK88400029We 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.text::journal::journal article::research article