Controllability of bilinear quantum systems in explicit times via explicit control fields

Alessandro Duca (1, 2, 3, 4)

1 SPHINX - Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization
2 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
3 Dipartimento di Scienze Matematiche
4 Dipartimento di Matematica "Giuseppe Peano" [Torino]

We consider the one dimensional bilinear Schrodinger equation in a bounded domain. We exhibit how to construct controls and times for the global exact controllability

Mots clés: Schrödinger equation; global exact controllability; inversion problems; control estimate; time estimate; bilinear quan-tum systems; explicit controls; explicit times

Domaines: Equations aux dérivées partielles [math.AP]; Systèmes dynamiques [math.DS]; Physique mathématique [math-ph]; Optimisation et contrôle [math.OC]; Théorie spectrale [math.SP]

Alessandro Duca. Controllability of bilinear quantum systems in explicit times via explicit control fields. 2019. ⟨hal-01520173v4⟩