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arXiv · 1101.1429

Optimal Control of the Electronic Current Density - An application to one- and two-dimensional one-electron systems

David Kammerlander·Alberto Castro·Miguel A. L. Marques
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Abstract

Quantum optimal control theory is a powerful tool for engineering quantum systems subject to external fields such as the ones created by intense lasers. The formulation relies on a suitable definition for a target functional, that translates the intended physical objective to a mathematical form. We propose the use of target functionals defined in terms of the one-particle density and its current. A strong motivation for this is the possibility of using time-dependent density-functional theory for the description of the system dynamics. We exemplify this idea by defining an objective functional that on one hand attempts a large overlap with a target density and on the other hand minimizes the current. The latter requirement leads to optimized states with increased stability, which we prove with a few examples of one- and two-dimensional one-electron systems.

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David Kammerlander, Alberto Castro, Miguel A. L. Marques. 2011-03-17. Optimal Control of the Electronic Current Density - An application to one- and two-dimensional one-electron systems. https://doi.org/10.1103/physreva.83.043413

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