# Mesoscopic entanglement through central potential interactions

## TL;DR

This paper explores how continuous variable methods can be used to generate and detect Gaussian entanglement between two levitated nanobeads interacting via a central potential, with implications for fundamental physics and quantum technologies.

## Contribution

It introduces a framework for analyzing mesoscopic entanglement through central potential interactions using continuous variable tools, including entanglement computation and measurement requirements.

## Key findings

- Steady-state entanglement can be achieved between nanobeads.
- Measurement precision thresholds for entanglement detection are identified.
- The approach provides a pathway for experimental realization of mesoscopic entanglement.

## Abstract

The generation and detection of entanglement between mesoscopic systems would have major fundamental and applicative implications. In this work, we demonstrate the utility of continuous variable tools to evaluate the Gaussian entanglement arising between two homogeneous levitated nanobeads interacting through a central potential. We compute the entanglement for the steady state and determine the measurement precision required to detect the entanglement in the laboratory.