Analytical solution of the optimal laser control problem in two-level systems

Analytical solution of the optimal laser control problem in two-level systems

The optimal control of two-level systems by time-dependent laser fields is studied using a variational theory. We obtain, for the first time, general analytical expressions for the optimal pulse shapes leading to global maximization or minimization of different physical quantities. We present soluti...

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Veröffentlicht in:arXiv.org 2003-09
Hauptverfasser: Garcia, Martin E, Grigorenko, Ilia
Format: Artikel
Sprache:eng
Schlagworte:
Control systems
Exact solutions
Optimal control
Optimization
Time dependence
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Zusammenfassung:The optimal control of two-level systems by time-dependent laser fields is studied using a variational theory. We obtain, for the first time, general analytical expressions for the optimal pulse shapes leading to global maximization or minimization of different physical quantities. We present solutions which reproduce and improve previous numerical results.
ISSN:2331-8422
DOI:10.48550/arxiv.0309197