Entanglement Induced by Tailored Environments

TL;DR

This paper demonstrates how engineering the environment's properties can control the spatial dependence of entanglement between two quantum objects, revealing different behaviors in 1D versus higher-dimensional reservoirs.

Contribution

It introduces a method to tailor the environment to manipulate entanglement dependence on spatial separation in quantum systems.

Findings

In 2D and 3D reservoirs, entanglement follows an inverse power law with separation.

In 1D reservoirs, entanglement becomes independent of separation.

Environmental engineering enables control over quantum entanglement properties.

Abstract

We analyze a system consisting of two spatially separated quantum objects, here modeled as two pseudo-spins, coupled with a mesoscopic environment modeled as a bosonic bath. We show that by engineering either the dispersion of the spin boson coupling or the environment dimensionality or both one can in principle tailor the spatial dependence of the induced entanglement on the spatial separation between the two spins. In particular we consider one, two and three dimensional reservoirs and we find that while for a two or three dimensional reservoir the induced entanglement shows an inverse power law dependence on the spin separation, the induced entanglement becomes separation independent for a one dimensional reservoir.