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Lyapunov control of Schrödinger equation:beyond the dipole approximations

Grigoriu, Andreea; Lefter, Catalin; Turinici, Gabriel (2009), Lyapunov control of Schrödinger equation:beyond the dipole approximations, in Hangos, K.M., Proceedings of the 28th IASTED International Conference on Modelling, Identification and Control (MIC 2009), ACTA Press, p. 119-123

Type
Communication / Conférence
External document link
https://hal.archives-ouvertes.fr/hal-00364966
Date
2009
Conference title
28th IASTED International Conference on Modelling, Identification and Control (MIC 2009)
Conference date
2009-02
Conference city
Innsbruck
Conference country
Austria
Book title
Proceedings of the 28th IASTED International Conference on Modelling, Identification and Control (MIC 2009)
Book author
Hangos, K.M.
Publisher
ACTA Press
ISBN
978-0-88986-781-9
Pages
119-123
Metadata
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Author(s)
Grigoriu, Andreea

Lefter, Catalin

Turinici, Gabriel cc
Abstract (EN)
We analyse in this paper the Lyapunov trajectory tracking of the Schrödinger equation for a second order coupling operator. We present a theoretical convergence result; for situations not covered by the theoretical result we propose a numerical approach that is tested and works well in practice.
Subjects / Keywords
Quantum control; Control Lyapunov function; Numerical simulations; Stabilization