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Optimal control of the electronic current density: Application to one- and two-dimensional one-electron systems

Authors: D. Kammerlander, A. Castro, and M.A.L. Marques

Ref.: Phys. Rev. A 83, 043413 (2011)

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.

Citations: 6 (Google scholar)

DOI: 10.1103/PhysRevA.83.043413

URL: arxiv.org

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Bibtex:

@article{Kammerlander_2011,
	doi = {10.1103/physreva.83.043413},
	url = {https://doi.org/10.1103%2Fphysreva.83.043413},
	year = 2011,
	month = {apr},
	publisher = {American Physical Society ({APS})},
	volume = {83},
	number = {4},
	author = {David Kammerlander and Alberto Castro and Miguel A. L. Marques},
	title = {Optimal control of the electronic current density: Application to one- and two-dimensional one-electron systems},
	journal = {Physical Review A}
}