Preprint Technical Note Version 1 This version is not peer-reviewed

Simulation of Bell Correlations in Walker Systems

Version 1 : Received: 29 April 2018 / Approved: 8 May 2018 / Online: 8 May 2018 (08:43:29 CEST)

How to cite: Fleury, M. Simulation of Bell Correlations in Walker Systems. Preprints 2018, 2018050124 (doi: 10.20944/preprints201805.0124.v1). Fleury, M. Simulation of Bell Correlations in Walker Systems. Preprints 2018, 2018050124 (doi: 10.20944/preprints201805.0124.v1).

Abstract

We describe results from a Monte-Carlo simulation of Bell-CHSH type correlations in hydrodynamic walkers. We study feasibility of a real life walker test with relevant hydrodynamic parametric ranges. We observe the generic formation of pairs of walkers strongly anti-correlated both in position and momentum. With this source of entangled walkers, we model the insertion of 2 pins in the bath as a notion of measure, akin to the polarizers of photonic Bell tests. This insertion of pins, either static or dynamic, introduces 2 weak field signals. Each field has the physical form of a standing wave Bessel hat, representing the non-local (field mediated) influences of the measure on the walkers. With this representation of the measure, we develop protocol for a Bell game with actual hydrodynamic walkers. We model both static and dynamic insertion of pins in the walker bath. Static pins give us numerical S > 2, as a permissible Bell violation for a non-local (field based) effect. Dynamic insertion of the pins, however, leads to causal space separation of the two arms. We observe the again expected S ≤ 2. We argue for the hydrodynamic implementation and observation of these effects as a walker visualization of Bell inequalities.

Subject Areas

entanglement; hydrodynamic analogs of quantum systems; Bell's inequalities; Bohmian mechanics

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