Controlling tripartite entanglement among optical cavities by reservoir engineering

TL;DR

This paper explores how reservoir engineering with non-Markovian baths can extend and revive tripartite entanglement among optical cavities, outperforming traditional Markovian environments in preserving quantum correlations.

Contribution

It demonstrates the use of non-Markovian spectral densities to control and enhance entanglement longevity and revival in optical cavity systems, a novel approach in reservoir engineering.

Findings

Non-Markovian baths extend entanglement lifetime.

Double Lorentzian and super-ohmic baths optimize entanglement preservation.

Entanglement exhibits collapse and revival dynamics.

Abstract

We study how to control the dynamics of tripartite entanglement among optical cavities using non-Markovian baths. In particular, we demonstrate how the reservoir engineering through the utilization of non-Markovian baths with different types of Lorentzian and ohmic spectral densities can lead to an entanglement survival for longer times and in some cases considerable regain of seemingly lost entanglement. Both of these behaviors indicate a better sustainability of entanglement (in time) compared to the usual Markovian bath situations which assumes a flat spectrum of the bath around the system resonant frequency. Our scheme shows these effects in the context of optical cavities starting off in a maximally entangled W and Greenberger-Horne-Zeilinger (GHZ) tripartite states. In Lorentzian cases we find that the far detuned double Lorentzian baths with small coupling strengths and for ohmic type baths super-ohmic environments with smaller cutoff frequencies are the best candidates for preserving entanglement among cavities for significant amount of time. A non-Markovian quantum jump approach is employed to understand the entanglement dynamics in these cases, especially to recognize the collapse and revival of the entanglement in both W and GHZ states.