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Signals of entanglement and nonlocality are quantitatively evaluated at zero and finite temperature in an analog 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 three-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 the entanglement of which resists partial tracing.
Ciliberto et al. (Thu,) studied this question.
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