Controlling Entropic Uncertainty in the Presence of Quantum Memory by Non-Markovian Effects and Atom–Cavity Couplings

Based on the time-convolutionless master-equation approach, the entropic uncertainty in the presence of quantum memory is investigated for a two-atom system in two dissipative cavities. We find that the entropic uncertainty can be controlled by the non-Markovian effect and the atom–cavity coupling. The results show that increasing the atom–cavity coupling can enlarge the oscillating frequencies of the entropic uncertainty and can decrease the minimal value of the entropic uncertainty. Enhancing the non-Markovian effect can reduce the minimal value of the entropic uncertainty. In particular, if the atom–cavity coupling or the non-Markovian effect is very strong, the entropic uncertainty will be very close to zero at certain time points, thus Bob can minimize his uncertainty about Alice's measurement outcomes.