Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems

TL;DR

This paper investigates the phenomena of sudden entanglement death and birth in multipartite quantum systems, revealing their timing relationships and underlying mechanisms through theoretical analysis.

Contribution

It demonstrates that entanglement sudden birth can occur before, during, or after entanglement sudden death, and extends the analysis to other partitions and higher-dimensional systems.

Findings

Entanglement transfer from cavities to reservoirs during depletion

Entanglement sudden birth can precede, coincide with, or follow entanglement sudden death

Analysis extends to other partitions and higher-dimensional systems

Abstract

We study the entanglement dynamics of two cavities interacting with independent reservoirs. Expectedly, we observe that, as the cavity entanglement is depleted, it is transferred to the reservoir degrees of freedom. We find that when the cavity entanglement suddenly disappear, the reservoir entanglement suddenly and necessarily appears. Surprisingly, we show that this {\it entanglement sudden birth} can manifest before, simultaneously, or even after {\it entanglement sudden death}. Finally, we present an explanatory study of other entanglement partitions and of higher dimensional systems.