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Contrôle Optimal de la Dynamique Dissipative de Systèmes Quantiques

Abstract : We study the control of finite dimensional quantum systems by external laser fields. After examining the concrete example of the diatomic molecular alignment in dissipative media, we are interested in the problem of optimal control, where the objective is to bring the system from an initial state into a given final state while minimizing a cost functional. The Pontryagin maximum principle (PMP) provides necessary conditions for optimality, by establishing that any optimal trajectory is the extremal solution of an extended problem of Hamiltonian structure. In this context, we perform the analysis of two particular systems. The first one is a dissipative 2-level system, for which we determine the set of time optimal trajectories; the second one is a not completely controllable conservative 3-level system, where a projective measure allows one to assist the control process.
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https://tel.archives-ouvertes.fr/tel-00325098
Contributor : Cyrill Kontz <>
Submitted on : Friday, September 26, 2008 - 11:27:58 AM
Last modification on : Friday, June 8, 2018 - 2:50:13 PM
Long-term archiving on: : Monday, October 8, 2012 - 1:35:42 PM

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  • HAL Id : tel-00325098, version 1

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Cyrill Kontz. Contrôle Optimal de la Dynamique Dissipative de Systèmes Quantiques. Physique mathématique [math-ph]. Université de Bourgogne, 2008. Français. ⟨tel-00325098⟩

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