The results presented in Figs. and, could be interpreted as rather discouraging. Indeed, with only an MTS factor of 2, the MTS trajectory and the reference one start to diverge only after 35 fs. However, unlike with ground state MD, the presence of non-adiabatic events has a drastic impact on the chaotic behaviour of excited state dynamics. Very tiny differences in the nuclear positions and velocities or wavefunction parameters can lead to completely different trajectories. The fact that some of the MTS trajectories presented in Fig. differ significantly from the reference trajectory does not mean that those trajectories are not physical. Only a statistical analysis of the photorelaxation process can enlighten us on that matter.