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Développement de nouvelles techniques de contrôle optimal en dynamique quantique : de la Résonance Magnétique Nucléaire à la physique moléculaire

Abstract : The goal of this thesis is to apply the optimal control theory to the dynamics of quantum systems.The first part aim at introducing the tools of optimal control in quantum control which were initially developedin mathematics. This approch has been applied on different kinds of quantum system with small and largedimensions. The first part of this manuscript introduces the optimal control tools which are used with a pointof view suited to a public of physicists. In the second part these techniques are used to control the dynamics ofspins in NMR and MRI. The third part deals with the development of new iterative algorithms applied to thecontrol by laser fields of the rotational dynamics of linear molecules in a gaz phases and the development of asimple control strategy allowing to delocalize a molecule in a plan. The fourth part treats the time-minimumcontrol of a two-component Bose Einstein condensate. The last part compares the different optimal controlmethods used qualitatively and quantitatively. The solution found in the second and third parts have been alsoapplied experimentally.
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Marc Lapert. Développement de nouvelles techniques de contrôle optimal en dynamique quantique : de la Résonance Magnétique Nucléaire à la physique moléculaire. Autre [cond-mat.other]. Université de Bourgogne, 2011. Français. ⟨NNT : 2011DIJOS067⟩. ⟨tel-00728830⟩

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