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Discrete-valued-pulse optimal control algorithms: Application to spin systems

Dridi, G.; Lapert, Marc; Salomon, Julien; Glaser, Steffen J.; Sugny, Dominique (2015), Discrete-valued-pulse optimal control algorithms: Application to spin systems, Physical Review A, 92, 4. 10.1103/PhysRevA.92.043417

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Type
Article accepté pour publication ou publié
Date
2015
Journal name
Physical Review A
Volume
92
Number
4
Publication identifier
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Author(s)
Dridi, G.
Laboratoire Interdisciplinaire Carnot de Bourgogne [ICB]
Centre de Mathématiques Appliquées - Ecole Polytechnique [CMAP]
Lapert, Marc
Department of Chemistry [Munich]
Salomon, Julien
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Glaser, Steffen J.
Department of Chemistry [Munich]
Sugny, Dominique
Laboratoire Interdisciplinaire Carnot de Bourgogne [ICB]
Institute for Advanced Study [Munich] [TUM-IAS]
Abstract (EN)
This article is aimed at extending the framework of optimal control techniques to the situation where the control field values are restricted to a finite set. We propose generalizations of the standard GRAPE algorithm suited to this constraint. We test the validity and the efficiency of this approach for the inversion of an inhomogeneous ensemble of spin systems with different offset frequencies. It is shown that a remarkable efficiency can be achieved even for a very limited number of discrete values. Some applications in nuclear magnetic resonance are discussed.
Subjects / Keywords
optimal control techniques; spin systems