Bogoliubov theory of acoustic Hawking radiation in Bose-Einstein condensates

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• Dr Alessio Recati, University of Trento, Italy
• Thursday 04 March 2010, 14:15-15:45
• TCM Seminar Room, Cavendish Laboratory.

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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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