Exploring Quantum Analogies: Superradiance, Bipartite Correlations, and static Bell Tests in Pilot-Wave Hydrodynamics
Résumé
Since its discovery in 2005, the hydrodynamic pilot-wave system has provided a macroscopic realization of wave-particle duality, reproducing an increasing number of quantum-like effects. A key question is how closely particle-particle correlations in this classical system can mimic those at the quantum scale. Here, we introduce a numerical model of cooperative tunneling in a bipartite pilot-wave system as a new platform for exploring this question. We first establish bipartite hydrodynamic analogs of superradiance, both numerically and experimentally, demonstrating a sinusoidal modulation of the excited-to-ground state transition rate as a function of the separation between the two subsystems. Additionally, we conduct a static Bell test, where the system’s geometry remains fixed while the two subsystems are coupled through the intervening wave field. This wave-mediated coupling does not conform to the assumptions underlying Bell’s theorem, providing a rationale for the observed violations. However, these violations are elusive, emerging only within a narrow region of parameter space.
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