155 citations · 349 across the 26 of their papers we have counts for
5 papers · 1 filter
On some open questions in bilinear quantum control
Ugo Boscain, Thomas Chambrion, Mario Sigalotti
The aim of this paper is to provide a short introduction to modern issues in the control of infinite dimensional closed quantum systems, driven by the bilinear Schrödinger equation…
Total Variation of the Control and Energy of Bilinear Quantum Systems
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
In the present note, we give two examples of bilinear quantum systems showing good agreement between the total variation of the control and the variation of the energy of solutions…
A Sufficient Condition for Partial Ensemble Controllability of Bilinear Schrödinger Equations with Bounded Coupling Terms
Thomas Chambrion
This note presents a sufficient condition for partial approximate ensemble controllability of a set of bilinear conservative quantum systems in an infinite dimensional Hilbert spac…
Energy Estimates for Low Regularity Bilinear Schrödinger Equations
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
This paper presents an energy estimate in terms of the total variation of the control for bilinear infinite dimensional quantum systems with unbounded potentials. These estimates a…
Which notion of energy for bilinear quantum systems?
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
In this note we investigate what is the best L^p-norm in order to describe the relation between the evolution of the state of a bilinear quantum system with the L^p-norm of the ext…