A GENERALIZED-APPROACH TO THE CONTROL OF THE EVOLUTION OF A MOLECULAR-SYSTEM

Citation
H. Tang et al., A GENERALIZED-APPROACH TO THE CONTROL OF THE EVOLUTION OF A MOLECULAR-SYSTEM, The Journal of chemical physics, 104(14), 1996, pp. 5457-5471
Citations number
48
Categorie Soggetti
Physics, Atomic, Molecular & Chemical
ISSN journal
00219606
Volume
104
Issue
14
Year of publication
1996
Pages
5457 - 5471
Database
ISI
SICI code
0021-9606(1996)104:14<5457:AGTTCO>2.0.ZU;2-L
Abstract
The theory of active control of molecular motion by use of shaped lase r pulses is developed emphasizing the role of interference and using t hermodynamic analogies. Attention is focused on the control of the dyn amics in a system with n states coupled by radiation, and the phase re lations which generate particular control schemes are derived. Among t he new results reported is an optimal control scheme which constrains the value of the phase. The n-state model can be considered to represe nt a molecule with n electronic potential energy surfaces and an arbit rary number of degrees of freedom or as the skeleton spectrum of syste m where each level in the spectrum can be associated with a specific s et of quantum numbers for all of the degrees of freedom. We show how t he control of the dynamics of an n-state molecule can be represented i n terms of the control of the dynamics of a precisely defined surrogat e fewer state system. This reduction is illustrated by use of a surrog ate two state system to describe the dynamics of population transfer i n a three state system. (C) 1996 American Institute of Physics.