Controlling curve‐crossing dynamics of a model diatomic system between two dissociative electronic states through radiative coupling with a third bound state is examined. Starting with an initial wave packet on one of the crossing surfaces, optimal control theory is used to design the radiative field to either enhance or eliminate (at our choice) selectivity of one product channel over another. A new optimization procedure is introduced which filters out dc and low frequency components from the optimal field, but still allows for resonant transitions to a third bound state. This procedure forces the fields to employ interesting physical mechanisms involving the bound state in order to control the electronic branching ratios rather than directly negating or enhancing the diabatic coupling term in the Hamiltonian. A new propagation scheme for a multisurface Hamiltonian using Pauli matrices is also presented.
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15 February 1992
Research Article|
February 15 1992
Optimal control of curve‐crossing systems Available to Purchase
Peter Gross;
Peter Gross
Department of Chemistry, Princeton University, Princeton, New Jersey 08544
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Daniel Neuhauser;
Daniel Neuhauser
Department of Chemistry, Princeton University, Princeton, New Jersey 08544
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Herschel Rabitz
Herschel Rabitz
Department of Chemistry, Princeton University, Princeton, New Jersey 08544
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Peter Gross
Department of Chemistry, Princeton University, Princeton, New Jersey 08544
Daniel Neuhauser
Department of Chemistry, Princeton University, Princeton, New Jersey 08544
Herschel Rabitz
Department of Chemistry, Princeton University, Princeton, New Jersey 08544
J. Chem. Phys. 96, 2834–2845 (1992)
Article history
Received:
July 08 1991
Accepted:
October 28 1991
Citation
Peter Gross, Daniel Neuhauser, Herschel Rabitz; Optimal control of curve‐crossing systems. J. Chem. Phys. 15 February 1992; 96 (4): 2834–2845. https://doi.org/10.1063/1.461980
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