Communication Dans Un Congrès Année : 2025

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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Dates et versions

hal-05038683 , version 1 (17-04-2025)
hal-05038683 , version 2 (18-04-2025)

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  • HAL Id : hal-05038683 , version 2

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Konstantinos Papatryfonos, Louis Vervoort, Mélanie Ruelle, Corentin Bourdiol, André Nachbin, et al.. Exploring Quantum Analogies: Superradiance, Bipartite Correlations, and static Bell Tests in Pilot-Wave Hydrodynamics. Quantum Information and Probability: from Foundations to Engineering (QIP25), Andrei Khrennikov and Linnaeus University, Jun 2025, Vaxjo, Sweden. ⟨hal-05038683v2⟩
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