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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
By M. Lapert, R. Tehini, G. Turinici and D. Sugny
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
- Authors: M. LapertR. TehiniG. TuriniciD. Sugny
- Language: English
Edition Identifiers:
- Internet Archive ID: arxiv-0905.4867
Downloads Information:
The book is available for download in "texts" format, the size of the file-s is: 9.14 Mbs, the file-s for this book were downloaded 65 times, the file-s went public at Sat Sep 21 2013.
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