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Abstract
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Based on the quantum memory-assisted entropic uncertainty relation (QMA-EUR), we
investigate the Markovian and non-Markovian dynamics of entanglement witness in a
two-atom system that asymmetrically are coupled to a leaky cavity with two-photon
relaxation. The atoms are two-level systems, they move inside the cavity and interact
with a classical driving laser field. We discuss in detail the effects of the translational
movement of the atoms, classical driving field and atom-cavity coupling on the protection
of entanglement witness. Our results show that with a regular increase in the intensity of
the classical driving field, the entanglement region witnessed by lower bound of QMA-
EUR increases and the time of entanglement witness gets longer. In the Markovian
regime, we find that quantum entanglement between the moving atoms can be witnessed
for a longer time by increasing the velocity of the atoms. However, in the non-Markovian
regime, higher speeds are required to witness entanglement over long time intervals. In
addition, we conclude that the entanglement region witnessed by the lower bound of
QMA-EUR can be protected in both the symmetrical and asymmetrical atom-cavity
coupling regimes. In the asymmetrical regime, a better protection can be achieved when
the memory atom is coupled to the cavity field stronger than the other atom.
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