Bogoliubov Theory of acoustic Hawking radiation in Bose-Einstein Condensates

Details Bogoliubov Theory of acoustic Hawking radiation in Bose-Einstein Condensates Bogoliubov Theory of acoustic Hawking radiation in Bose-Einstein Condensates

2009-07-24

arxiv.org/abs/0907.4305v1

Phys.Rev.A80:043603,2009

Physics

Condensed Matter

Quantum Gases

11 pages, 7 figures

Scientific paper

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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