Nonequilibrium effects on quantum temporal steering

We investigate the quantum temporal steering (TS), measured by temporal steering robustness R_TS , of a two-level system coupling to a nonequilibrium environment, for the weak and the strong coupling regime. The impact of various environmental parameters on TS behavior is discussed in detail. In order to gain a deeper understanding of TS, we also analyze the non-Markovianity of the system. Our numerical results reveal that a nonequilibrium environment can enhance the quantum temporal steering of the two-level system, regardless of whether the system is experiencing Markovian or non-Markovian dynamics. Furthermore, a strong memory environment can significantly enhance TS as well. These findings suggest that manipulating the temporal steering of a quantum system can be achieved efficiently and effectively in a nonequilibrium environment.