Single-input perturbative control of a quantum symmetric rotor
arXiv:2202.04689
Abstract
We consider the Schrödinger partial differential equation of a rotating symmetric rigid molecule (symmetric rotor) driven by a z-linearly polarized electric field, as prototype of degenerate infinite-dimensional bilinear control system. By introducing an abstract perturbative criterium, we classify its simultaneous approximate controllability; based on this insight, we numerically perform an orientational selective transfer of rotational population.
Additional material attached. It consists in two files: Resonnant14.m and Control.m used for the numerical simulations of the preprint. These two Octave scripts should be loaded in the Octave editor