Genetic algorithm with migration on topology conserving maps for optimal control of quantum systems

Bjarne Amstrup, Gábor J. Tóth, Gábor Szabó, Herschel Rabitz, A. Lőrincz

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

The laboratory implementation of molecular optimal control has to overcome the problem caused by the changing environmental parameters, such as the temperature of the laser rod, the resonator parameters, the mechanical parameters of the laboratory equipment, and other dependent parameters such as the time delay between pulses or the pulse amplitudes. In this paper a solution is proposed: instead of trying to set the parameter(s) with very high precision, their changes are monitored and the control is adjusted to the current values. The optimization in the laboratory can then be run at several values of the parameter(s) with an extended genetic algorithm (GA) which is tailored to such parametric optimization. The extended GA does not presuppose but can take advantage and, in fact, explores whether the mapping from the parameter(s) to optimal control field is continuous. Then the optimization for the different values of the parameter(s) is done cooperatively, which reduces the optimization time. A further advantage of the method is its full adaptiveness; i.e., in the best circumstances no information on the system or laboratory equipment is required, and only the success of the control needs to be measured. The method is demonstrated on a model problem: a pump-and-dump type model experiment on CsI.

Original languageEnglish
Pages (from-to)5206-5213
Number of pages8
JournalJournal of Physical Chemistry
Volume99
Issue number14
Publication statusPublished - 1995

Fingerprint

optimal control
genetic algorithms
topology
Genetic algorithms
Topology
laboratory equipment
optimization
Resonators
Time delay
Pumps
Lasers
pulse amplitude
rods
time lag
resonators
Experiments
pumps
Temperature
pulses
lasers

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

Genetic algorithm with migration on topology conserving maps for optimal control of quantum systems. / Amstrup, Bjarne; Tóth, Gábor J.; Szabó, Gábor; Rabitz, Herschel; Lőrincz, A.

In: Journal of Physical Chemistry, Vol. 99, No. 14, 1995, p. 5206-5213.

Research output: Contribution to journalArticle

Amstrup, Bjarne ; Tóth, Gábor J. ; Szabó, Gábor ; Rabitz, Herschel ; Lőrincz, A. / Genetic algorithm with migration on topology conserving maps for optimal control of quantum systems. In: Journal of Physical Chemistry. 1995 ; Vol. 99, No. 14. pp. 5206-5213.
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