Figure 4

\(\Delta E_{n}\), \(\Delta Q^{\beta }_{n}\) and \(\Delta Q^{\text{coh}}_{n}\) with respect to n for fixed ϕ (\(\phi =0\)), \(T=\omega _{E}=1\), \(\gamma =\frac{\pi }{14}\) and \(\delta =\frac{\pi }{6}\) which is the Markovian region of coupling presented in Fig. 2. \(p=0.4\) of the Markovian regime (a), \(p=0.9\) of the non-Markovian regime (b), and the initial state of system is excited state \(|0\rangle \)