Fig. shows the population of the excited state for the AIMS result (blue) as well as the total spin-PLDM correlation function (orange). The dotted lines represent the partial contributions to the spin-PLDM correlation function. The green dotted line is the case where λλ = 11 and hence has an initial value of 1.00 since this was the intended initial photo-excitation of the system. This condition appears only in the definition of the operator Â = |1 1|, which is in principle not implemented until after all N 2 simulations are completed in the post-processing by explicitly performing the trace Tr[ Âω † (Z , t) B ω(Z, t)] once the time-dependent kernels are known for each λλ condition. The other components cannot start with any other value than 0.0 at the initial time but can accumulate population at later times, as pointed out in Ref. 46,47. In this model, only the off-diagonal initial conditions λλ = 01, 10 appreciably contribute to the total population. At the final time, together they contribute up to 5.0% of the total population.