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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

Type
Article accepté pour publication ou publié
Date
2009
Journal name
New Journal of Physics
Volume
11
Publisher
Institute of Physics Publishing
Pages
105034
Publication identifier
Metadata
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Author(s)
Coron, Jean-Luc
Grigoriu, Andreea
Lefter, Catalin
Turinici, Gabriel cc
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 / Keywords
Quantum information and quantum mechanics; Mathematical physics