Controllability of the bilinear Schrödinger equation with several controls and application to a 3D molecule
arXiv:1204.6017 · doi:10.1109/CDC.2012.6426289
Abstract
We show the approximate rotational controllability of a polar linear molecule by means of three nonresonant linear polarized laser fields. The result is based on a general approximate controllability result for the bilinear Schrödinger equation, with wavefunction varying in the unit sphere of an infinite-dimensional Hilbert space and with several control potentials, under the assumption that the internal Hamiltonian has discrete spectrum.