We consider a linear Schrödinger equation, on a bounded interval, with bilinear control, that
represents a quantum particle in an electric field (the control). We prove the exact …

In this paper we prove an approximate controllability result for the bilinear Schrödinger
equation. This result requires less restrictive non-resonance hypotheses on the spectrum of …

We study the controllability of a closed control-affine quantum system driven by two or more
external fields. We provide a sufficient condition for controllability in terms of existence of …

The aim of this book is to provide an introduction to some representative nonrelativistic
quantum control problems and to their theoretical analysis and solution by modern …

We present a sufficient condition for approximate controllability of the bilinear discrete-
spectrum Schrödinger equation in the multi-input case. The controllability result extends to …

We consider the one dimensional Schrödinger equation with a bilinear control and prove the
rapid stabilization of the linearized equation around the ground state. The feedback law …

We consider semidiscrete approximation schemes for the linear Schrödinger equation and
analyze whether the classical dispersive properties of the continuous model hold for these …

Weakly coupled systems are a class of infinite dimensional conservative bilinear control
systems with discrete spectrum. An important feature of these systems is that they can be …

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 …

A well-known method of transferring the population of a quantum system from an
eigenspace of the free Hamiltonian to another is to use a periodic control law with an …