Non-Markovian Dynamics of Entanglement for Multipartite Systems

TL;DR

This paper investigates the complex non-Markovian entanglement dynamics between two atoms and their reservoirs, revealing that entanglement revival and death can occur asynchronously, with new criteria and methods for analysis.

Contribution

It introduces a novel population analysis method and applies the quasimode Hamiltonian approach to better understand and quantify entanglement revival and death phenomena in non-Markovian systems.

Findings

Atom entanglement can revive before, after, or simultaneously with reservoir disentanglement.

Revival of atom entanglement is not necessarily linked to reservoir entanglement death.

New criteria for entanglement revival and death are proposed.

Abstract

Entanglement dynamics for a couple of two-level atoms interacting with independent structured reservoirs is studied using a non-perturbative approach. It is shown that the revival of atom entanglement is not necessarily accompanied by the sudden death of reservoir entanglement, and vice versa. In fact, atom entanglement can revive before, simultaneously or even after the disentanglement of reservoirs. Using a novel method based on the population analysis for the excited atomic state, we present the quantitative criteria for the revival and death phenomena. For giving a more physically intuitive insight, the quasimode Hamiltonian method is applied. Our quantitative analysis is helpful for the practical engineering of entanglement.