Lyapunov Control of Schrödinger Equations: Beyond the Dipole Approximation

A. Grigoriu (France), C. Lefter (Romania), and G. Turinici (France)


Quantum control, Control Lyapunov function, Numericalsimulations, Stabilization.


We analyse in this paper the Lyapunov trajectory tracking of the Schr¨odinger 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.

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