What can we hope about output tracking of bilinear quantum systems?

Abstract : We consider a non-resonant bilinear Schrödinger equation with discrete spectrum driven by a scalar control. We prove that this system can approximately track any given trajectory, up to the phase of the coordinates, with arbitrary small controls. The result is valid both for bounded and unbounded Schrödinger operators. The method used relies on finite-dimensional control techniques applied to Lie groups.
Type de document :
Communication dans un congrès
4th International Scientific Conference on Physics and Control, Sep 2009, Catane, Italy. World Scientific, 15, pp.251-256, 2010, From physics to control through an emergent view. 〈http://ebooks.worldscinet.com/ISBN/9789814313155/9789814313155.html〉
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https://hal.inria.fr/inria-00599438
Contributeur : Thomas Chambrion <>
Soumis le : jeudi 9 juin 2011 - 17:23:01
Dernière modification le : jeudi 10 mai 2018 - 02:04:43

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  • HAL Id : inria-00599438, version 1

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Ugo Boscain, Thomas Chambrion, Mario Sigalotti, Paolo Mason. What can we hope about output tracking of bilinear quantum systems?. 4th International Scientific Conference on Physics and Control, Sep 2009, Catane, Italy. World Scientific, 15, pp.251-256, 2010, From physics to control through an emergent view. 〈http://ebooks.worldscinet.com/ISBN/9789814313155/9789814313155.html〉. 〈inria-00599438〉

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