The paper is organized as follows. In Section II, we introduce the theory by comparing the Born-Huang and the exact-factorization formulation of nonadiabatic dynamics, while in Section III, the numerical procedures used in our quantum dynamics simulations are presented. The model system used as test case in this work is described in Section IV. Section V provides information on the computational aspects of our simulations, whose results are presented in Section VI. Our conclusions are stated in Section VII.