Entanglement harvesting in buckled honeycomb lattices by vacuum fluctuations in a microcavity

TL;DR

This paper investigates how entanglement can be generated between two buckled honeycomb lattices inside a microcavity through vacuum fluctuations, highlighting the influence of lattice structure, photon exchange, and electron motion.

Contribution

It introduces a novel analysis of entanglement harvesting in buckled honeycomb lattices within a microcavity using time-dependent perturbation theory and concurrence measures.

Findings

Entanglement depends on virtual photon exchange and layer positions.

Perpendicular electron motion enhances entanglement formation.

Buckled structure and strong spin-orbit interaction promote entanglement harvesting.

Abstract

We study the entanglement harvesting between two identical buckled honeycomb lattices placed inside a planar microcavity. By applying time dependent perturbation theory, we obtain quantum correlations between both layers induced by the cavity field. Considering the vacuum state as the initial state of the cavity field and tracing out the time-evolved degrees of freedom, we analyze the entanglement formation using the concurrence measure. We show that the concurrence depends on the virtual photon exchanged and the positions of the layer through the interlayer photon propagator. Furthermore, we find that the formation of entanglement between equal energy electrons tends to be enhanced when they move in perpendicular directions. Our results indicate that a buckled honeycomb structure and a large spin-orbit interaction favor the entanglement harvesting.