The results of the corresponding imaginary parts are shown in the SI. At t = 1000 au (see Figures ), the coherence is produced by the overlap between WP-1 and WP-3. Due to the inherent lack of decoherence in FSSH-wf, more trajectories hop incorrectly from the upper PES to the lower PES, which leads to incorrect coherence distribution in the region of -3 < x < -1. With the branching correction, the incorrect coherence distribution is significantly reduced in BCSH-wf. In addition, the coherence fringes are also much closer to the quantum reference due to the phase correction. As WP-1 reaches the second turning point and generates WP-4 and WP-5, WP-3 is scattered away such that the major coherence distribution emerges from the overlap between WP-1 and the newly generated WP-4 (see Figures and). Since WP-3 produced by FSSH-wf is incorrect (see details in the SI), the overlap between WP-1 and WP-3 results in erroneous behavior on the left side of the main coherence distribution (see Figures and). The second branching event takes place as WP-4 gradually separates with WP-1. FSSH-wf cannot correctly describe this branching event either, resulting in additional incorrect behavior on the right side of the main coherence distribution (see Figure ). Again, BCSH-wf eliminates the incorrect coherence distribution in FSSH-wf and also gives more accurate coherence fringes (see