“…Synthetic SO coupling of both Bose and Fermi gases has been realized in recent experiments [29][30][31][32][33][34][35], which opens a completely new and ideal avenue for investigating quantum dynamics of SO-coupled cold atomic systems. There have been a great number of research works focusing on novel dynamics of SO-coupled cold atomic systems , for instance, quantum spin dynamics [38,39], spin Josephson dynamics [41][42][43][44] and localization [45,46], Anderson transition of SO-coupled cold atoms [47], collective dynamics [32,48], Bloch oscillation dynamics [50], selective coherent spin transportation [55], spin-dependent dynamic localization [58], controlling stable spin dynamics [59], transparent manipulation of spin dynamics [62], coherent control of spin tunneling [63], and so on. To our knowledge, many works related to the quantum dynamics of SO-coupled cold atomic systems have been studied by applying approximate methods [43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][6...…”