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Lyapunov control of Schrödinger equations: beyond the dipole approximation

Grigoriu, Andreea; Lefter, Catalin; Turinici, Gabriel (2009), Lyapunov control of Schrödinger equations: beyond the dipole approximation, in Hangos, K.M., Modelling, Identification and Control (MIC 2009), ACTA Press, p. Track 640 080

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Type
Communication / Conférence
Date
2009
Conference country
AUSTRIA
Book title
Modelling, Identification and Control (MIC 2009)
Book author
Hangos, K.M.
Publisher
ACTA Press
ISBN
978-0-88986-781-9
Pages
Track 640 080
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; Stabilization; Numerical Simulations; Control Lyapunov Function