# Long-lived mesoscopic entanglement between two damped infinite harmonic chains

## TL;DR

This paper demonstrates that two large, damped harmonic chains immersed in a thermal bath can develop and sustain long-lived quantum entanglement at the mesoscopic scale, despite environmental noise.

## Contribution

It introduces a model showing how dissipation and noise can generate and maintain mesoscopic entanglement between two many-body systems in the large-$N$ limit.

## Key findings

- Quantum correlations are generated by dissipation and noise.
- Entanglement persists for long times even at finite temperatures.
- The phenomenon is robust in the thermodynamic limit.

## Abstract

We consider two chains, each made of $N$ independent oscillators, immersed in a common thermal bath and study the dynamics of their mutual quantum correlations in the thermodynamic, large-$N$ limit. We show that dissipation and noise due to the presence of the external environment are able to generate collective quantum correlations between the two chains at the mesoscopic level. The created collective quantum entanglement between the two many-body systems turns out to be rather robust, surviving for asymptotically long times even for non vanishing bath temperatures.