Adiabatic control of the Schrödinger equation via conical intersections of the eigenvalues
arXiv:1102.3063
Abstract
In this paper we present a constructive method to control the bilinear Schrödinger equation via two controls. The method is based on adiabatic techniques and works if the spectrum of the Hamiltonian admits eigenvalue intersections, and if the latter are conical (as it happens generically). We provide sharp estimates of the relation between the error and the controllability time.