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Experimental realization of an analog of entanglement between two Brownian particles

Statistical Mechanics 2025-06-05 v3 Quantum Physics

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.

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Cite

@article{arxiv.2408.06708,
  title  = {Experimental realization of an analog of entanglement between two Brownian particles},
  author = {Lakshmanan Theerthagiri and Sergio Ciliberto},
  journal= {arXiv preprint arXiv:2408.06708},
  year   = {2025}
}

Comments

12 pages + 4 pages Supplementary Material