QUANTUM HAMILTONIAN AND DIPOLE MOMENT IDENTIFICATION IN PRESENCE OF LARGE CONTROL PERTURBATIONS

Ying Fu (1) , Gabriel Turinici (1, 2)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 IUF - Institut universitaire de France

The problem of recovering the Hamiltonian and dipole moment is considered in a bilinear quantum control framework. The process uses as inputs some measurable quantities (observables) for each admissible control. If the implementation of the control is noisy the data available is only in the form of probability laws of the measured observable. Nevertheless it is proved that the inversion process still has unique solutions (up to phase factors). Both additive and multiplicative noises are considered. Numerical illustrations support the theoretical results.

Mots clés: 1991 Mathematics Subject Classification 93-XX; 49-XX; 81Q93

Domaines: Analyse numérique [math.NA]; Physique Quantique [quant-ph]

Ying Fu, Gabriel Turinici. QUANTUM HAMILTONIAN AND DIPOLE MOMENT IDENTIFICATION IN PRESENCE OF LARGE CONTROL PERTURBATIONS. 2014. ⟨hal-01068969v2⟩