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| HAL : hal-00594895, version 3 |
| DOI : 10.1016/j.automatica.2012.03.031 |
| Fiche détaillée |  Récupérer au format |
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| Automatica 48, 9 (2012) 2040-2046 |
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| Versions disponibles : | v1 (23-05-2011) | v2 (01-12-2011) | v3 (12-08-2012) |
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| Periodic excitations of bilinear quantum systems |
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| Thomas Chambrion 1, 2 |
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| CORIDA Collaboration(s) |
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| (2012) |
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| A well-known method of transferring the population of a quantum system from an eigenspace of the free Hamiltonian to another is to use a periodic control law with an angular frequency equal to the difference of the eigenvalues. For finite dimensional quantum systems, the classical theory of averaging provides a rigorous explanation of this experimentally validated result. This paper extends this finite dimensional result, known as the Rotating Wave Approximation, to infinite dimensional systems and provides explicit convergence estimates. |
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| 1 : | CORIDA (INRIA Nancy - Grand Est / IECN / LMAM) |
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INRIA – CNRS : UMR7502 – Université de Lorraine |
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| 2 : | Institut Élie Cartan Nancy (IECN) |
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CNRS : UMR7502 – Université de Lorraine |
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| Equations aux dérivées partielles |
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| Domaine | : | Mathématiques/Optimisation et contrôle |
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| Bilinear quantum systems – Schrödinger equation – controllability |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00594895, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00594895 | |
| oai:hal.archives-ouvertes.fr:hal-00594895 | |
| Contributeur : Thomas Chambrion | |
| Soumis le : Jeudi 9 Août 2012, 12:02:34 | |
| Dernière modification le : Mardi 18 Septembre 2012, 17:15:28 | |
