Bogoliubov theory of acoustic Hawking radiation in Bose-Einstein condensates
- 7 October 2009
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 80 (4) , 043603
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.Keywords
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