Propagation properties and limitations on the attainable entanglement in a driven harmonic chain

TL;DR

This paper investigates the limits and propagation characteristics of entanglement in a driven harmonic chain, highlighting how increased entanglement leads to oscillatory behavior and discussing the effects of fast rotating terms.

Contribution

It provides new insights into the maximum attainable entanglement and its propagation limitations in a strongly driven harmonic chain, including the impact of eigenmode squeezing and fast rotating terms.

Findings

Higher entanglement causes more oscillatory behavior.

Fast rotating terms influence entanglement propagation.

Sudden coupling switch illustrates propagation issues.

Abstract

The limitations on the production and profitability of entanglement in a harmonic chain under strong driving are considered. We report on the limits of attainable entanglement for a given set of squeezings of the eigenmodes, showing that the higher the entanglement the more oscillatory and thus less easy to profit from. We also comment on propagation properties of entanglement, discussing the role of fast rotating terms and illustrating several issues with the example of a sudden switch of the coupling.