Figure 8

(a)–(b): \(\Delta S_{n}\) and \(\beta _{A_{Q}}\Delta Q_{n+1}\) against the number of collision n with \(\gamma =\frac{\pi }{14}\) and different δ, \(\delta =\frac{\pi }{6}\) (Markovian region of coupling (a)), \(\delta =\frac{\pi }{9}\) (non-Markovian region of coupling (b)). (c) The correlation \(I(\rho ^{S,A_{Q}}_{n})\) in Eq. (28) against the number of collision n with fixed γ (\(\gamma =\frac{\pi }{14}\)) and different δ. (d) The heat \(\Delta Q_{n+1}\) absorbed by system and its two contributions \(\Delta Q^{\text{dia}}_{n+1}\) and \(\Delta Q^{\text{coh}}_{n+1}\) against the number of collision n, and the parameters are the same as those of (b). For all plots the initial state of system is ground state \(|1\rangle \), \(A_{Q}\) and each ancilla of the reservoir are initially prepared in the same thermal states \(\rho _{\beta }\), i.e., Eq. (16) with \(p=0\), \(T=1\) and \(\omega =1\)