To express the quantum Hamiltonian in phase space and subsequently derive the associated equations of motion, we adopt the so-called mapping approach. Here we limit our discussion to the Meyer Miller Stock Thoss (MMST) mapping, although several mapping protocols have been introduced recently that aim to better preserve the electronic phase space. For a comparative study of different types of mapping approaches in the context of the on-the-fly LSC dynamics, we refer readers to an earlier study. In the MMST mapping, the occupation of electronic states is expressed using the ladder operators of a quan-tum harmonic oscillator,