The decoherence dynamics of the multipartite entanglement in non-Markovian environment

TL;DR

This paper investigates how non-Markovian environments with detuning influence the decoherence and entanglement dynamics of four two-level atoms, highlighting the roles of reservoir parameters and state robustness.

Contribution

It introduces a detailed analysis of multipartite entanglement decay in non-Markovian settings, emphasizing the impact of detuning and reservoir correlation time on entanglement evolution.

Findings

Entanglement dynamics depend on a parameter related to detuning and correlation time.

Decay and revival of entanglement are linked to the sign of the decay rate.

Cluster states are more robust to decoherence than Dicke, GHZ, and W states.

Abstract

We consider four two-level atoms interacting with independent non-Markovian reservoirs with detuning. We mainly investigate the effects of the detuning and the length of the reservoir correlation time on the decoherence dynamics of the multipartite entanglement. We find that the time evolution of the entanglement of atomic and reservoir subsystems is determined by a parameter, which is a function of the detuning and the reservoir correlation time. We also find that the decay and revival of the entanglement of the atomic and reservoir subsystems are closely related to the sign of the decay rate. We also show that the cluster state is the most robust to decoherence comparing with Dicke, GHZ, and W states for this decoherence channel