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Soft violation of Bell's inequality
Walking drops on Faraday waves are one of the rare examples of non-quantum wave-particle duality. A series of striking experiments with one walking drop has lead to behaviors that were thought to the peculiar to the quantum scale. I will introduce the system and will review the most striking experimental results that have been observed so far, including, macroscopic diffraction, tunnelling, quantized dynamics in confined geometry. I will present a recent numerical and experimental investigation involving the coupling two walking drops. To our great surprise, we have found that the statistical behaviors of this system shares some non-expected features of collective emission of photons in quantum optics, including superradiance and violation of Bell's inequality. This result is very intriguing as the quantum counterpart is the signature of non-separable states which in our case, is the result of a collective wave self-organisation.
Papatryfonos et al, (submitted), (2022) preprint arXiv:2208.08940
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Hubert et al, Nature Communications 13, 4357, (2022)