The recently proposed tunneling approach (N. Doslic, O. Kuhn, J. Manz, K. S
undermann, J. Phys. Chem. A, in press) by which isomerization reactions can
be controlled using ultrafast laser pulses is extended to incorporate envi
ronmental effects. Multilevel Redfield theory is used to show how phase and
energy relaxation resulting from the interaction between system and bath c
oordinates leads to a deterioration of the controllability of the system's
dynamics. In the tunneling approach the tunneling time between the energeti
cally lowest reactant and product states sets the time scale for the contro
l of isomerization. Therefore, for systems having a high barrier the time r
equired for completing the reaction increases considerably. Optimal control
theory applied to this case suggests the participation of excited vibratio
nal states in the isomerization process. This leads us to a simple analytic
al two-pulse scheme where the first pulse induces a vibrational excitation
of the reactant and the second pulse drives the tunneling to the product co
nfiguration. The influence of dissipation on the resulting dynamics is disc
ussed. (C) 1999 Elsevier Science B.V. All rights reserved.