Statistique - Probabilités - Optimisation et Contrôle

The bilinear Schrödinger equation: controllability and application to rotating molecules

by Eugenio Pozzoli (Inria Paris)

René Baire (IMB)

René Baire


In the last three decades the bilinear Schrödinger equation has been
studied as a model for the evolution of finite- and infinite-
dimensional closed quantum systems; some famous examples are qubits,
harmonic oscillators and roto-vibrating molecules interacting with a
laser. In this talk I will describe an approximate controllability test
for the infinite-dimensional bilinear Schrödinger equation, based on
the periodic excitation of non-degenerate modal truncations.
Furthermore, I will present a recent application of this technique to
study the controllability of symmetric and asymmetric rotating