RT Journal Article
T1 Violation of Cauchy-Schwarz inequalities by spontaneous Hawking radiation in resonant boson structures
A1 Muñoz de Nova, Juan Ramón
A1 Sols Lucía, Fernando
A1 Zapata, I.
AB 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.
PB American Physical Society
SN 1050-2947
YR 2014
FD 2014-04-07
LK https://hdl.handle.net/20.500.14352/33621
UL https://hdl.handle.net/20.500.14352/33621
LA eng
NO © 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.
NO Comunidad de Madrid
NO Ministerio de Economía y Competitividad (MINECO)
DS Docta Complutense
RD 3 ago 2025