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arXiv · 0905.4867

Monotonically convergent optimal control theory of quantum systems under a nonlinear interaction with the control field

M. Lapert·R. Tehini·G. Turinici·D. Sugny
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Abstract

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.

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M. Lapert, R. Tehini, G. Turinici, D. Sugny. 2009-05-29. Monotonically convergent optimal control theory of quantum systems under a nonlinear interaction with the control field. https://doi.org/10.1103/physreva.78.023408

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