A contemporary review on the behavior of driven tunneling in quantum s
ystems is presented. Diverse phenomena, such as control of tunneling,
higher harmonic generation, manipulation of the population dynamics an
d the interplay between the driven tunneling dynamics and dissipative
effects are discussed. In the presence of strong driving fields or ult
rafast processes, well-established approximations such as perturbation
theory or the rotating wave approximation have to be abandoned. A var
iety of tools suitable for tackling the quantum dynamics of explicitly
time-dependent Schrodinger equations are introduced. On the other han
d, a real-time path integral approach to the dynamics of a tunneling p
article embedded in a thermal environment turns out to be a powerful m
ethod to treat in a rigorous and systematic way the combined effects o
f dissipation and driving. A selection of applications taken from the
fields of chemistry and physics are discussed, that relate to the cont
rol of chemical dynamics and quantum transport processes, and which al
l involve driven tunneling events. (C) 1998 Elsevier Science B.V. All
rights reserved.