On the controllability in projections for linear quantum systems
Optimization and Control
2024-04-15 v1
Abstract
We present sufficient conditions for the exact controllability in projection of the linear Schr{\"o}dinger equations in the case where the spectrum of the free Hamiltonian is pure point. We consider the general case in which the Hamiltonian may be nonlinear with respect to the control. The controllability result applies, in particular, to Schr{\"o}dinger equations with a polarizability term.
Cite
@article{arxiv.2404.08290,
title = {On the controllability in projections for linear quantum systems},
author = {Thomas Chambrion and Nabile Boussaid and Marco Caponigro},
journal= {arXiv preprint arXiv:2404.08290},
year = {2024}
}