Nogo theorem for bands of potential curves in multistate Landau Zener model
Abstract
In the multistate LandauZener model all diabatic potential curves are linear functions of time. We consider the case where there is a band of parallel potential curves with slope larger (smaller) than any of the other slopes in the system. In such a situation transitions from a lower (higher) lying state within the band to any upper (lower) state are counterintuitive, since in the simple semiclassical picture they are possible only via propagation backwards in time. We rigorously prove that the probabilities of such transitions are exactly zero. In other words the energy of states within the band can only decrease (increase). The theoretical method employed is based on analysis of perturbation theory series to arbitrary order.
 Publication:

Journal of Physics B Atomic Molecular Physics
 Pub Date:
 April 2005
 DOI:
 10.1088/09534075/38/7/011
 Bibcode:
 2005JPhB...38..907V