Optimal periodic control of spin systems: Application to the maximization of the signal to noise ratio per unit time
Jbili, Nadia; Hamraoui, K; Glaser, Steffen J.; Salomon, Julien; Sugny, Dominique (2019), Optimal periodic control of spin systems: Application to the maximization of the signal to noise ratio per unit time. https://basepub.dauphine.fr/handle/123456789/18570
TypeDocument de travail / Working paper
External document linkhttps://hal.archives-ouvertes.fr/hal-02066372
Series titleCahier de recherche CEREMADE, Université Paris-Dauphine
MetadataShow full item record
Abstract (EN)We propose an optimal control algorithm for periodic spin dynamics. This non-trivial optimization problem involves the design of a control field maximizing a figure of merit, while finding the initial and final states of the dynamics, which are not known but are subjected to specific periodic conditions. As an illustrative example, we consider the maximization of the signal to noise ratio per unit time of spin systems. In the case of a homogeneous spin ensemble and a very short control duration, we show numerically that the optimal field corresponds to the Ernst angle solution. We investigate the optimal control process for longer control durations and their sensitivity to offset inhomogeneities.
Subjects / KeywordsOptimal periodic control; signal
Showing items related by title and author.
Dridi, G.; Lapert, Marc; Salomon, Julien; Glaser, Steffen J.; Sugny, Dominique (2015) Article accepté pour publication ou publié
Monotonically convergent optimal control theory of quantum systems under a nonlinear interaction with the control field Lapert, Marc; Tehini, R.; Turinici, Gabriel; Sugny, Dominique (2008-02) Article accepté pour publication ou publié