Curchod, B., Agostini, F., Gross, E. K. U.
An exact factorization perspective on quantum interferences in nonadiabatic systems
The Journal of Chemical Physics 145, (3),pp 034103/1-13 (2016)
Nonadiabatic quantum interferences emerge whenever nuclear wavefunctions in different electronic
states meet and interact in a nonadiabatic region. In this work, we analyze how nonadiabatic quantum interferences translate in the context of the exact factorization of the molecular wave-function. In particular, we focus our attention on the shape of the time-dependent potential energy surface - the exact surface on which the nuclear dynamics takes place. We use a one-dimensional exactly solvable model to reproduce different conditions for quantum interferences, whose characteristic features already appear in one dimension. The time-dependent potential energy surface develops complex features when strong interferences are present, in clear contrast to the observed behavior in simple nonadiabatic crossing cases. Nevertheless, independent classical trajectories propagated on the exact time-dependent potential energy surface reasonably conserve a distribution in configuration space that mimics one of the exact nuclear probability densities.
TH-2016-27