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arXiv · 0907.4305

Bogoliubov Theory of acoustic Hawking radiation in Bose-Einstein Condensates

A. Recati·N. Pavloff·I. Carusotto
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Abstract

We apply the microscopic Bogoliubov theory of dilute Bose-Einstein condensates to analyze quantum and thermal fluctuations in a flowing atomic condensate in the presence of a sonic horizon. For the simplest case of a step-like horizon, closed-form analytical expressions are found for the spectral distribution of the analog Hawking radiation and for the density correlation function. The peculiar long-distance density correlations that appear as a consequence of the Hawking emission features turns out to be reinforced by a finite initial temperature of the condensate. The analytical results are in good quantitative agreement with first principle numerical calculations.

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A. Recati, N. Pavloff, I. Carusotto. 2009-07-24. Bogoliubov Theory of acoustic Hawking radiation in Bose-Einstein Condensates. https://doi.org/10.1103/physreva.80.043603

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