Non-Markovian effects on the dynamics of entanglement

TL;DR

This paper presents a method to analyze the non-Markovian dynamics of entanglement in multiple independent quantum systems, revealing entanglement revival phenomena without direct interaction.

Contribution

It introduces a general procedure to determine the dynamics of N independent bodies interacting with environments, applicable to any noise form, and demonstrates entanglement revival in two qubits with no direct interaction.

Findings

Entanglement can revive after complete disappearance due to non-Markovian effects.

The method applies to any environment noise form.

Entanglement revival occurs even without direct qubit interaction.

Abstract

A procedure that allows to obtain the dynamics of $N$ independent bodies each locally interacting with its own reservoir is presented. It relies on the knowledge of single body dynamics and it is valid for any form of environment noise. It is then applied to the study of non-Markovian dynamics of two independent qubits, each locally interacting with a zero temperature reservoir. It is shown that, although no interaction is present or mediated between the qubits, there is a revival of their entanglement, after a finite period of time of its complete disappearance.