Figure 3
Behavior of the population of the excited state of a two-level system Pe(t). In each panel we compare a quantum renewal process and a modified version of it. Panel (a) dynamics described by an exponential damping with rate λ3 = 1.1 in inverse units of time, intertwined with jumps described by a amplitude damping channel with parameter γ = 0.866. The solid curve (red) corresponds to the modified quantum renewal process corresponding to Eq. (25), while the dashed curve (blue) to the unmodified one of Eq. (26). Here k = 3 so that for the modified process we have considered three exponential distributions with different rates in the ratio 1:7:5. The populations are plotted as function of μt, with μ the parameter characterizing the first WTD. Panel (b) dynamics with the same damping rate and WTD in the ratio 1:5:10, but jumps described by the composition of a Pauli channel with Kraus operator σx and an amplitude damping with parameter γ = 0.43.
