Our calculations show that nonadiabatic effects dominate phase-matched high
-order. harmonic generation with few cycle laser pulses. The nonadiabatic b
ehavior is a direct consequence of the large ionization rate realized with
few-cycle laser pulses, which introduces a nonlinear growth of the harmonic
phase with propagation distance. The deviation from linear growth has two
striking consequences. On the one hand the nonadiabatic effect drastically
reduces the efficiency of conventional phase-matching mechanisms, such as q
uasi-phase-matching, and on the other hand, it is responsible for a novel p
hase-matching mechanism, termed nonadiabatic self-phase-matching that is pr
edicted to make high-order harmonic generation in the x-ray regime possible
.