Tripartite Entanglement Dynamics in the presence of Non-Markovian Environment

TL;DR

This paper investigates how tripartite entanglement evolves when each party interacts with a non-Markovian environment, revealing entanglement revival phenomena and analyzing robustness for GHZ and W states.

Contribution

It provides analytical results on tripartite entanglement dynamics in non-Markovian environments, including symmetry breaking and revival phenomena for GHZ and W states.

Findings

Entanglement revives after disappearance in non-Markovian environments.

Symmetry of GHZ states is broken due to environmental effects.

Both GHZ and W states show robustness against environmental decoherence.

Abstract

We study on the tripartite entanglement dynamics when each party is initially entangled with other parties, but they locally interact with their own non-Markovian environment. First, we consider three GHZ-type initial states, all of which have GHZ symmetry provided that the parameters are chosen appropriately. However, this symmetry is broken due to the effect of environment. The corresponding $\pi$-tangles, one of the tripartite entanglement measure, are analytically computed at arbitrary time. The revival phenomenon of entanglement occurs after complete disappearance of entanglement. We also consider two W-type initial states. The revival phenomenon also occurs in this case. On the analytical ground the robustness issue against the effect of environment is examined for both GHZ-type and W-type initial states.