Dynamics of Entanglement Transfer Through Multipartite Dissipative Systems

TL;DR

This paper investigates how entanglement transfers between atoms, cavities, and reservoirs in a multipartite dissipative system, explicitly modeling reservoir dynamics and revealing conditions for entanglement flow and absence in cavities.

Contribution

It introduces an explicit reservoir dynamics approach to study entanglement transfer, showing that entanglement can fully transfer to reservoirs and may not appear in cavities under certain conditions.

Findings

Entanglement fully transfers from atoms to reservoirs.

No entanglement observed in cavities under specific conditions.

Entanglement flow depends on system parameters and subsystem interactions.

Abstract

We study the dynamics of entanglement transfer in a system composed of two initially correlated three-level atoms, each located in a cavity interacting with its own reservoir. Instead of tracing out reservoir modes to describe the dynamics using the master equation approach, we consider explicitly the dynamics of the reservoirs. In this situation, we show that the entanglement is completely transferred from atoms to reservoirs. Although the cavities mediate this entanglement transfer, we show that under certain conditions, no entanglement is found in cavities throughout the dynamics. Considering the entanglement dynamics of interacting and non-interacting bipartite subsystems, we found time windows where the entanglement can only flow through interacting subsystems, depending on the system parameters.