Exact-factorization-based approaches allow to recover some quantum effects thanks to the coupling among the trajectories . In particular, the recently developed coupled-trajectory Tully surface hopping (CT-TSH) method combines the basic idea of a surface-hopping procedure, i.e., classical adiabatic nuclear evolution using stochastic hops, with the "decoherence-corrected" electronic quantum dynamics, where the additional term accounting for decoherence effects is rigorously derived from the exact factorization .