Figure 4

Time evolution of the occupation of the excited state Pe(t). The compared evolutions only differ for the time ordering. In both panels we consider a dynamics described by an exponential damping with rate λ3 = 4 in inverse units of time. The process is characterized by four different exponential WTD, so that we have k = 4. In panel (a) their rates are in the ratio 1:5:.1:.5, while in panel (b) the ratio is given by 1:10:20:15. Jumps are described by an amplitude damping channel with parameter γ = 0.8766, further composed with a dephasing map in panel (b). The solid curves (red) correspond to the quantum renewal process ordered as in Eq. (25), while the dashed curves (black) to the process with inverse time ordering as in Eq. (35).