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The violation of a classical Cauchy-Schwarz (CS) inequality is identified asan unequivocal signature of spontaneous Hawking radiation in sonic black holes.This violation can be particularly large near the peaks in the radiationspectrum emitted from a resonant boson structure forming a sonic horizon. As afunction of the frequency-dependent Hawking radiation intensity, we analyze thedegree of CS violation and the maximum violation temperature for a doublebarrier structure separating two regions of subsonic and supersonic condensateflow. We also consider the case where the resonant sonic horizon is produced bya space-dependent contact interaction. In some cases, CS violation can beobserved by direct atom counting in a time-of-flight experiment. We show thatnear the conventional zero-frequency radiation peak, the decisive CS violationcannot occur.

Violation of Cauchy-Schwarz inequalities by spontaneous Hawking radiation in resonant boson structures