In Figure , we show time evolution of the coherence distribution. At t = 1400 au, both FSSH-wf and BCSH-wf fail to capture the slow decoherence and produce incorrect oscillation peaks. BCSH-wf even gives more severe oscillations compared to those of FSSH-wf. This stems from the phase correction, which has shown enhanced oscillating patterns of the branching ratios in previous studies. After the WP on the upper PES overcomes the barrier, the coherence distribution by BCSH-wf maintains the incorrect oscillating pattern due to the phase correction, whereas FSSH-wf eliminates the oscillating pattern by averaging the phases of electronic wavefunctions from different trajectories. In comparison, BCSH-cc always gives correct results.