zbMATH — the first resource for mathematics

Exact controllability for the population of the eigenstates in bilinear quantum systems. (Contrôlabilité exacte de la population des états propres dans les systèmes quantiques bilinéaires.) (French. Abridged English version) Zbl 0971.81198
Summary: We present exact controllability results for quantum systems interacting with lasers. A negative result for infinite-dimensional spaces serves as a starting point for a finite-dimensional analysis. We show that under a physically reasonable hypothesis in such systems we can control the population of the eigenstates. Applications are given for a five-level system.

81V80 Quantum optics
93B05 Controllability
81V55 Molecular physics
92E99 Chemistry
Full Text: DOI