Control through operators for quantum chemistry

Philippe Laurent (1) , Herschel Rabitz (2) , Julien Salomon (3) , Gabriel Turinici (3)

1 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes
2 Department of Chemistry
3 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We consider the problem of operator identification in quantum control. The free Hamiltonian and the dipole moment are searched such that a given target state is reached at a given time. A local existence result is obtained. As a by-product, our works reveals necessary conditions on the laser field to make the identification feasible. In the last part of this work, some algorithms are proposed to compute effectively these operators.

Mots clés: Inverse problem; Identification; Quantum Control

Domaines: Optimisation et contrôle [math.OC]

Philippe Laurent, Herschel Rabitz, Julien Salomon, Gabriel Turinici. Control through operators for quantum chemistry. 2012. ⟨hal-00678040v1⟩