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IOP Publishing, New Journal of Physics, 10(11), p. 105034, 2009

DOI: 10.1088/1367-2630/11/10/105034

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Quantum control design by Lyapunov trajectory tracking for dipole and polarizability coupling

Journal article published in 2009 by Jean-Michel Coron, Andreea Grigoriu, Catalin Lefter, Gabriel Turinici ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

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. oui