Violation of Bell inequalities in an analogue black hole

• URL: http://arxiv.org/abs/2404.16497v1
• Date: Thu, 25 Apr 2024 10:45:04 GMT
• Title: Violation of Bell inequalities in an analogue black hole
• Authors: Giorgio Ciliberto, Stephanie Emig, Nicolas Pavloff, Mathieu Isoard,
• Abstract summary: Signals of entanglement and nonlocality are evaluated in an analogue black hole realized in the flow of a quasi-one-dimensional Bose-Einstein condensate. It is shown that the long wavelength modes of the system are maximally entangled, in the sense that they realize a superposition of continuous variable versions of Greenberger-Horne-Zeilinger states whose entanglement resists partial tracing.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Signals of entanglement and nonlocality are quantitatively evaluated at zero and finite temperature in an analogue black hole realized in the flow of a quasi one-dimensional Bose-Einstein condensate. The violation of Lorentz invariance inherent to this analog system opens the prospect to observe 3-mode quantum correlations and we study the corresponding violation of bipartite and tripartite Bell inequalities. It is shown that the long wavelength modes of the system are maximally entangled, in the sense that they realize a superposition of continuous variable versions of Greenberger-Horne-Zeilinger states whose entanglement resists partial tracing.

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