Relaxation times zero-point energy results

To conclude, the results presented in this section demonstrate that the semiclassical implementation of the mapping approach is able to describe the ultrafast dynamics in the pyrazine system. In particular, it is capable of describing the correct relaxation dynamics as well as the structures of the absorption spectrum. The former is related to a correct treatment of the zero-point energy, the latter reflects the correct inclusion of quantum interference effects. The ability to describe these quantum effects is in contrast to the quasiclassical implementation of the mapping approach discussed in Sec. 6. The semiclassical version of the mapping approach should, therefore, also be well suited to describe time-resolved nonlinear spectra. 

---