Weakly-coupled systems in quantum control

Nabile Boussaid (1) , Marco Caponigro (2, 3) , Thomas Chambrion (2, 3)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
2 CORIDA - Robust control of infinite dimensional systems and applications
3 IECL - Institut Élie Cartan de Lorraine

This paper provides rigorous definitions and analysis of the dynamics of weakly-coupled systems and gives sufficient conditions for an infinite dimensional quantum control system to be weakly-coupled. As an illustration we provide examples chosen among common physical systems.

Mots clés: Quantum system; Schrödinger equation; bilinear control; Galerkin approximation; approximate controllability

Domaines: Equations aux dérivées partielles [math.AP]; Optimisation et contrôle [math.OC]; Physique mathématique [math-ph]

Nabile Boussaid, Marco Caponigro, Thomas Chambrion. Weakly-coupled systems in quantum control. IEEE Transactions on Automatic Control, 2013, 58 (9), pp.2205-2216. ⟨10.1109/TAC.2013.2255948⟩. ⟨hal-00620733v2⟩