Dynamics of multipartite quantum correlations in the qubit-reservoir system

We study the dynamics of multipartite quantum correlations in terms of genuinely multipartite (GM) concurrence and global quantum discord in an N qubits system interacting with independent reservoirs. For the initial mixed GHZ-like state, we show that the multipartite quantum correlations initially in the qubits system can be completely transferred to the reservoirs. During this process, the GM entanglement exhibits sudden death for qubits and sudden birth for reservoirs, but the global quantum discord presents the asymptotic behavior. In this sense, the global quantum discord is more robust than GM entanglement in the evolution process. We put research emphasis on the effects induced by the amplitude a of the initial state, purity p and the qubits number N. In addition, a sharp comparison between the dynamics of GM entanglement and that of global quantum discord in both Markovian and non-Markovian regimes is made.