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Quantum Hamiltonian and dipole moment identification in presence of large control perturbations

Fu, Ying; Turinici, Gabriel (2017), Quantum Hamiltonian and dipole moment identification in presence of large control perturbations, ESAIM: Control, Optimisation and Calculus of Variations, 23, 3, p. 1129-1143. 10.1051/cocv/2016026

Type
Article accepté pour publication ou publié
External document link
https://hal.archives-ouvertes.fr/hal-01068969
Date
2017
Journal name
ESAIM: Control, Optimisation and Calculus of Variations
Volume
23
Number
3
Pages
1129-1143
Publication identifier
Metadata
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Author(s)
Fu, Ying
Turinici, Gabriel cc
Abstract (EN)
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.
Subjects / Keywords
Physique quantique