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



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Muñoz de Nova, Juan Ramón and Sols Lucía, Fernando and Zapata, I. (2014) Violation of Cauchy-Schwarz inequalities by spontaneous Hawking radiation in resonant boson structures. Physical Review A, 89 (4). ISSN 1050-2947


Official URL: http://dx.doi.org/10.1103/PhysRevA.89.043808



The violation of a classical Cauchy-Schwarz (CS) inequality is identified as an unequivocal signature of spontaneous Hawking radiation in sonic black holes. This violation can be particularly large near the peaks in the radiation spectrum emitted from a resonant boson structure forming a sonic horizon. As a function of the frequency-dependent Hawking radiation intensity, we analyze the degree of CS violation and the maximum violation temperature for a double barrier structure separating two regions of subsonic and supersonic condensate flow. We also consider the case where the resonant sonic horizon is produced by a space-dependent contact interaction. In some cases, CS violation can be observed by direct atom counting in a time-of-flight experiment. We show that near the conventional zero-frequency peak, the decisive CS violation cannot occur.

Item Type:Article
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© 2014 American Physical Society.
We thank D. Guery-Odelin, R. Parentani, and C.Westbrook for valuable discussions. Support from MINECO (Spain) through grant FIS2010-21372 and from Comunidad de Madrid through grant MICROSERES-CM (S2009/TIC-1476) is also acknowledged.

Uncontrolled Keywords:Black-Hole Evaporation
Subjects:Sciences > Physics > Materials
ID Code:26460
Deposited On:01 Aug 2014 10:59
Last Modified:09 Dec 2014 09:03

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