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Nonlinear Optimal Control Theory by Leonard David Berkovitz

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1Monotonically Convergent Optimal Control Theory Of Quantum Systems Under A Nonlinear Interaction With The Control Field

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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.

“Monotonically Convergent Optimal Control Theory Of Quantum Systems Under A Nonlinear Interaction With The Control Field” Metadata:

  • Title: ➤  Monotonically Convergent Optimal Control Theory Of Quantum Systems Under A Nonlinear Interaction With The Control Field
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  • Language: English

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