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Article Dans Une Revue New Journal of Physics Année : 2009

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

Résumé

We analyse in this paper 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.
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Dates et versions

hal-00410285 , version 1 (19-08-2009)

Identifiants

  • HAL Id : hal-00410285 , version 1

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Jean-Michel Coron, Andreea Grigoriu, Catalin Lefter, Gabriel Turinici. Quantum control design by Lyapunov trajectory tracking for dipole and polarizability coupling. New Journal of Physics, 2009, 11, 105034 (22p). ⟨hal-00410285⟩
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