GEOMETRIC PHASE EFFECTS AND WAVE-PACKET DYNAMICS ON INTERSECTING POTENTIAL-ENERGY SURFACES

The impact of the geometric phase on the time evolution of quantum-mec hanical wave packets is studied theoretically. Two model systems of co upled electronic potential energy surfaces are compared. One of them, the well-known EXe Jahn-Teller system, comprises two conically interse cting surfaces, and the dynamics is subject to the geometric phase. Th e other system, describing the (E+A)Xe Pseudo-Jahn-Teller effect, comp rises three intersecting surfaces and the dynamics is not subject to a geometric phase. Apart from the geometric phase, the coupling to the upper surface is verified to be negligible for low-energy wave packet motion. Still, the geometric phase leads to a pronounced difference of low-energy wave packet dynamics in both systems. Most significant is the phenomenon of destructive self-interference of the two parts of th e wave packet that encircle the conical intersection on opposite sides . The importance of the resulting different shape of the wave packet f or a fs pump-probe spectrum is pointed out. (C) 1995 American Institut e of Physics.