Landau-Zener transitions in a linear chain

  title={Landau-Zener transitions in a linear chain},
  author={V. L. Pokrovsky Pokrovsky and Nikolai Sinitsyn},
We present an exact asymptotic solution for electron transition amplitudes in an infinite linear chain driven by an external time-dependent electric field. This solution extends the Landau-Zener theory for the case of an infinite number of states in the discrete spectrum. In addition to the transition amplitudes we calculate the effective diffusion constant.