A theory of coherent control of reaction dynamics based on the optimization of a linear time-invariant system with complex variables

Y. Watanabe; H. Umeda; Y. Ohtsuki; H. Kono; Y. Fujimura

doi:10.1016/s0301-0104(97)00057-8

A theory of coherent control of reaction dynamics based on the optimization of a linear time-invariant system with complex variables

Y. Watanabe, H. Umeda, Y. Ohtsuki, H. Kono, Y. Fujimura

SCI - Chemistry

Tohoku University

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

A theory of coherent control of reaction dynamics by pulse shaping is developed based on optimization of a linear time invariant system with complex variables. This theory is an extension of a previous control theory based on a linear time-invariant system for real variables [J. Chem. Phys., 100 (1994) 5646]. The theory is successfully applied to HCN → HNC in a one dimensional model. The isomerization takes place along a minimum energy path in which several vibrational levels below the potential barrier are selected as intermediate levels. Upper two levels of them are associated with tunneling dynamics. The effects of the tunneling dynamics on the coherent isomerization are discussed.

Original language	English
Pages (from-to)	317-323
Number of pages	7
Journal	Chemical Physics
Volume	217
Issue number	2-3 SPEC. ISS.
DOIs	https://doi.org/10.1016/s0301-0104(97)00057-8
Publication status	Published - 1997 May 1

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10.1016/s0301-0104(97)00057-8

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title = "A theory of coherent control of reaction dynamics based on the optimization of a linear time-invariant system with complex variables",

abstract = "A theory of coherent control of reaction dynamics by pulse shaping is developed based on optimization of a linear time invariant system with complex variables. This theory is an extension of a previous control theory based on a linear time-invariant system for real variables [J. Chem. Phys., 100 (1994) 5646]. The theory is successfully applied to HCN → HNC in a one dimensional model. The isomerization takes place along a minimum energy path in which several vibrational levels below the potential barrier are selected as intermediate levels. Upper two levels of them are associated with tunneling dynamics. The effects of the tunneling dynamics on the coherent isomerization are discussed.",

author = "Y. Watanabe and H. Umeda and Y. Ohtsuki and H. Kono and Y. Fujimura",

note = "Funding Information: We gratefully acknowledges the Japan Society for the Promotion of Science for supporting of the Japan-Canada joint research project {"}Control of Reaction Dynamics by Laser{"}. We would also like to thank Professor A.D. Bandrauk, Dr. S. Chelkowski and Professor J. Manz for their stimulating discussions.",

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AU - Watanabe, Y.

AU - Umeda, H.

AU - Ohtsuki, Y.

AU - Kono, H.

AU - Fujimura, Y.

N1 - Funding Information: We gratefully acknowledges the Japan Society for the Promotion of Science for supporting of the Japan-Canada joint research project "Control of Reaction Dynamics by Laser". We would also like to thank Professor A.D. Bandrauk, Dr. S. Chelkowski and Professor J. Manz for their stimulating discussions.

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Y1 - 1997/5/1

N2 - A theory of coherent control of reaction dynamics by pulse shaping is developed based on optimization of a linear time invariant system with complex variables. This theory is an extension of a previous control theory based on a linear time-invariant system for real variables [J. Chem. Phys., 100 (1994) 5646]. The theory is successfully applied to HCN → HNC in a one dimensional model. The isomerization takes place along a minimum energy path in which several vibrational levels below the potential barrier are selected as intermediate levels. Upper two levels of them are associated with tunneling dynamics. The effects of the tunneling dynamics on the coherent isomerization are discussed.

AB - A theory of coherent control of reaction dynamics by pulse shaping is developed based on optimization of a linear time invariant system with complex variables. This theory is an extension of a previous control theory based on a linear time-invariant system for real variables [J. Chem. Phys., 100 (1994) 5646]. The theory is successfully applied to HCN → HNC in a one dimensional model. The isomerization takes place along a minimum energy path in which several vibrational levels below the potential barrier are selected as intermediate levels. Upper two levels of them are associated with tunneling dynamics. The effects of the tunneling dynamics on the coherent isomerization are discussed.

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A theory of coherent control of reaction dynamics based on the optimization of a linear time-invariant system with complex variables

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