  We present a detailed study of the decoherence correction to surface-hopping
that was recently derived from the exact factorization approach. Ab initio
multiple spawning calculations that use the same initial conditions and same
electronic structure method are used as a reference for three molecules:
ethylene, methaniminium cation, and fulvene, for which non-adiabatic dynamics
follows a photo-excitation. A comparison with the Granucci-Persico energy-based
decoherence correction, and the augmented fewest-switches surface-hopping
scheme shows that the three decoherence-corrected methods operate on individual
trajectories in a qualitatively different way, but results averaged over
trajectories are similar for these systems.
