The faster decay of TSH-ODC was investigated by analyzing the number of hops and "back" hops between the ground state and the first excited state. TSH-ODC exhibited significantly fewer hops (i.e., from S 1 to S 0 ) and "back" hops (i.e., from S 0 to S 1 ) when compared to other methodologies. Notably, even when the energy difference between the ground state and the first excited state was considerably large (≥ 2.0 eV), a substantial number of hops and "back" hops still occurred in the other methodologies, while they were practically absent in TSH-ODC. Fig. shows the state probabilities of the S 1 state after nπ * excitation, encompassing all methodologies investigated within this study: the state probabilities in TSH-ODC undergo a sudden rescaling following a hop event, rapidly making the state probalility for the new active state very close to one. In this way, the fewest switches hopping probability away from the active state is reduced after a hop in TSH-ODC with respect to CT-TSH. state can significantly increase the complexity of the system. However, our results demonstrate a remarkable agreement between the quantum and classical populations in CT-TSH, by contrast to the TSH approach.