The results from this simulation can be found in Fig. of the SI. Since using longer restart times is not computationally attractive for larger systems, the TD-ADGA rerun approach may very well be an attractive compromise where the initial TD-ADGA calculation map out the PES in all areas of relevance and then the rerun simulation with a fixed PES provides a description of the time-evolution completely free of any artefacts. The extra computational cost added in this extra careful approach depends on both the wave function method and total simulation time, however, from the point of uncovering the physical content of the simulation this extra step might be unnecessary.