Quantum control design by Lyapunov trajectory tracking for dipole and polarizability coupling
Coron, Jean-Luc; Grigoriu, Andreea; Lefter, Catalin; Turinici, Gabriel (2009), Quantum control design by Lyapunov trajectory tracking for dipole and polarizability coupling, New Journal of Physics, 11, p. 105034. http://dx.doi.org/10.1088/1367-2630/11/10/105034
TypeArticle accepté pour publication ou publié
Journal nameNew Journal of Physics
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Abstract (EN)In this paper we analyze the Lyapunov trajectory tracking of the Schrödinger equation for a coupling control operator containing both a linear (dipole) and a quadratic (polarizability) term. We show numerically that the contribution of the quadratic part cannot be exploited by standard trajectory tracking tools and propose two improvements: discontinuous feedback and periodic (time-dependent) feedback. For both cases we present theoretical results and support them by numerical illustrations.
Subjects / KeywordsQuantum information and quantum mechanics; Mathematical physics
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