“…Quantum non-Markovian dynamics can lead to some interesting phenomena such as quantum correlation and coherence trapping [9][10][11], correlation quantum beat [12], and has extensively possible applications in quantum metrology [13], quantum communication [14][15][16][17], quantum control [18]. Because of these distinctive properties and extensive applications, more and more attention and interest have been devoted to the study of non-Markovian process of open systems, * Electronic address: hszeng@hunnu.edu.cn including the measure of non-Markovianity [19][20][21][22][23][24][25][26][27][28][29][30][31][32], the positivity [33][34][35], and some other dynamical properties [36][37][38][39][40][41][42][43][44] and approaches [45][46][47] of non-Markovian processes. Experimentally, the simulation [48][49][50][51][52][53] of non-M...…”