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

Alessandro Duca (1)

1 IF - Institut Fourier

We consider the bilinear Schrödinger equation on a bounded one-dimensional domain and we provide explicit times such that the global exact controllability is verified. In addition, we show how to construct controls for the global approximate controllability.

Mots clés: Schrödinger equation; Explicit times; Bilinear quantum systems; Explicit controls; Global exact controllability

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. International Journal of Control, 2021, 94 (3), pp.724-734. ⟨10.1080/00207179.2019.1616224⟩. ⟨hal-01520173v5⟩