Abstract
By considering two kinds of non-Markovian (NM) environments, the dynamical behavior of quantum steering, Bell nonlocality and coherence of a system of two atoms initially immersed in a vacuum has been studied. In this context, the cases of a cavity little off-resonance with the atomic transition frequency and non-perfect photonic band-gap (NPPBG) has been considered. The control and preservation of the quantumness measures is discussed in terms of the physical parameters. Furthermore, the situations for which the atoms state is steerable with the presence of Bell nonlocality and coherence has been illustrated. Finally, the monotonic dependence among the quantumness measures is displayed with respect to the model parameters.
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