Experimental realization of an analog of entanglement between two Brownian particles

TL;DR

This paper demonstrates a classical analog of quantum entanglement using two Brownian particles at different temperatures, revealing entanglement-like correlations that depend on measurement resolution and are confirmed through experiments.

Contribution

It provides the first experimental realization of a classical entanglement analog in Brownian particles, linking temperature and measurement scale to quantum-like correlations.

Findings

Experimental confirmation of classical entanglement analog

Correlation depends on coarse-graining scale

Temperature acts as an effective Planck's constant

Abstract

We experimentally investigate the statistical properties of a classical analog of quantum entanglement considering two Brownian particles connected by an elastic force and maintained at different temperatures through separate heat reservoirs. Uncertainty relations between coordinates and coarse-grained velocity can produce a phenomenon similar to quantum entanglement, where temperature plays the role of Planck's constant. The theoretical analysis matches the experimental results, confirming that the interconnected particles exhibit Brownian quantum-inspired classical correlation entanglement. This effect arises from a coarse-grained description of Brownian motion and vanishes at a finer resolution. The coarsening scales range is measured too.