Dynamics of multipartite entanglement in the non-Markovian environments

Abstract

We consider the entanglement dynamics of N qubits interacting with independent structured reservoirs. The system is initially prepared in the multipartite Greenberger–Horne–Zeilinger (GHZ)-type state. We study the dependence of the entanglement dynamics on both the qubit number N and the purity of initial state, and show that the qubit number N and the purity can control the time of appearance of the N-qubit entanglement sudden death and the entanglement sudden birth of the reservoirs. Also based on the purity and the qubit number N, the revival of N-qubit entanglement does not necessarily indicate the disentanglement of reservoirs, and manifests before, simultaneously or even after the finite-time disentanglement of reservoirs.