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We have used the analogy between gravitational systems and non-homogeneousfluid flows to calculate the density-density correlation function of an atomicBose-Einstein condensate in the presence of an acoustic black hole. Theemission of correlated pairs of phonons by Hawking-like process results into apeculiar long-range density correlation. Quantitative estimations of the effectare provided for realistic experimental configurations.

Non-local density correlations as signal of Hawking radiation in BEC acoustic black holes