Dynamics and improvement of quantum correlations in the triple Jaynes–Cummings model

•We use the triple Jaynes–Cummings model to study the entanglement transfer.•Comparable robustness of different correlation measures.•Obtain an optimal condition for enhancing tripartite entanglement.•Applications to the N-qubit GHZ state are considered in detail.

We investigate the dynamics and improvement of tripartite quantum correlations in three atoms interacting with the independent cavities, in terms of genuinely multipartite concurrence, lower bound of concurrence and tripartite geometric quantum discord. By choosing the GHZ and W states as atomic initial states, we study the relationship between the initial state and entanglement transfer, and the robustness of different correlation measures. The results show that the different initial states can control entanglement transfer between the subsystems, and the tripartite geometric quantum discord is more robust than tripartite entanglement in the evolution process. Then, we propose the optimal scheme to improve tripartite entanglement in certain conditions via the weak measurement and quantum measurement reversal. In addition, we find that our study also works for the N-qubit GHZ state by using genuinely multipartite concurrence.