Landau-Zener transitions in a linear chain

V. L. Pokrovsky, N. A. Sinitsyn

Published 2001-12-21Version 1

We present an exact asymptotic solution for electron transition amplitudes in an infinite linear chain driven by an external homogeneous time-dependent electric field. This solution extends the Landau-Zener theory for the case of infinite number of states in discrete spectrum. In addition to transition amplitudes we calculate an effective diffusion constant.