Entanglement of mesoscopic systems

TL;DR

This paper investigates how entanglement in mesoscopic atomic systems can be generated through mean field interactions with a laser, highlighting the importance of mesoscopic correlations for entanglement creation.

Contribution

It introduces a framework using fluctuation algebra to describe entanglement in atomic clouds and shows how mesoscopic dynamics differ from microscopic ones in generating entanglement.

Findings

Mesoscopic correlations are crucial for entanglement between atomic clouds.

Mean field Hamiltonian dynamics differ at microscopic and mesoscopic levels.

Measurement on mesoscopic states results in entanglement creation.

Abstract

The entanglement of clouds of atoms recently experimentally verified is expressed in terms of the fluctuation algebra introduced by Goderis, Verbeure and Vets. A mean field Hamiltonian describing the coupling to a laser beam leads to different time evolutions if considered on microscopic or mesoscopic operators. Only the latter creates non trivial correlations that finally after a measurement lead to entanglement between the clouds.