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Monotonically Convergent Optimal Control Theory of Quantum Systems Under a Nonlinear Interaction with the Control Field by Lapert, M.; Tehini, R.; Turinici, G.; Sugny, D. is a scholarly article available to read on EtoBox.

What is Monotonically Convergent Optimal Control Theory of Quantum Systems Under a Nonlinear Interaction with the Control Field about?

We consider the optimal control of quantum systems interacting non-linearly with an electromagnetic field. We propose new monotonically convergent algorithms to solve the optimal equations. The monotonic behavior of the algorithm is ensured by a non-standard choice of the cost which is not quadratic in the field. These algorithms can be constructed for pure and mixed-state quantum systems. The efficiency of the method is shown numerically on molecular orientation with a non-linearity of order 3 in the field. Discretizing the amplitude and the phase of the Fourier transform of the optimal field, we show that the optimal solution can be well-approximated by pulses that could be implemented experimentally.

Author

Lapert, M.; Tehini, R.; Turinici, G.; Sugny, D.

Published

2009

Language

EN