We can find that all the investigated methods capture the profile of the total nuclear density compared with the exact results. Both CTSH and SC-CTSH based on SH trajectories give better results compared to CTMQC in a mean field manner, which reveals the advantage of SH dynamics in depicting the WP branching. In comparison, SC-CTSH gives the best results. We further compare the quantum momentum obtained by the corresponding nuclear density, which is key for XF-based nonadiabatic dynamics simulations. As shown in Figure , CTMQC and CTSH exhibit evident deviations from the exact solutions based on the nuclear density by DVR. Impressively, SC-CTSH is always close to the exact reference, implying the high reliability of the new algorithms.