Yi-Hsieh Wang, Ted Jacobson, Mark Edwards, Charles W. Clark
SciPost Phys. 3, 022 (2017) ·
published 26 September 2017
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Analog black/white hole pairs, consisting of a region of supersonic flow,
have been achieved in a recent experiment by J. Steinhauer using an elongated
Bose-Einstein condensate. A growing standing density wave, and a checkerboard
feature in the density-density correlation function, were observed in the
supersonic region. We model the density-density correlation function, taking
into account both quantum fluctuations and the shot-to-shot variation of atom
number normally present in ultracold-atom experiments. We find that quantum
fluctuations alone produce some, but not all, of the features of the
correlation function, whereas atom-number fluctuation alone can produce all the
observed features, and agreement is best when both are included. In both cases,
the density-density correlation is not intrinsic to the fluctuations, but
rather is induced by modulation of the standing wave caused by the
fluctuations.
