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Cooperating or fighting with control noise in the optimal manipulation of quantum dynamics

J. Chem. Phys. 121, 9270 (2004); doi:10.1063/1.1799591

Issue Date: 15 November 2004

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Feng Shuang and Herschel Rabitz
Department of Chemistry, Princeton University, Princeton, New Jersey 08544
This paper investigates the impact of control field noise on the optimal manipulation of quantum dynamics. Simulations are performed on several multilevel quantum systems with the goal of population transfer in the presence of significant control noise. The noise enters as run-to-run variations in the control amplitude and phase with the observation being an ensemble average over many runs as is commonly done in the laboratory. A genetic algorithm with an improved elitism operator is used to find the optimal field that either fights against or cooperates with control field noise. When seeking a high control yield it is possible to find fields that successfully fight with the noise while attaining good quality stable results. When seeking modest control yields, fields can be found which are optimally shaped to cooperate with the noise and thereby drive the dynamics more efficiently. In general, noise reduces the coherence of the dynamics, but the results indicate that population transfer objectives can be met by appropriately either fighting or cooperating with noise, even when it is intense. ©2004 American Institute of Physics.
History: Received 21 May 2004; accepted 5 August 2004
Permalink: http://link.aip.org/link/?JCPSA6/121/9270/1
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0021-9606 (print)   1089-7690 (online)
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