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Bogoliubov Theory of acoustic Hawking radiation in Bose-Einstein Condensates

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arxiv 0907.4305 v1 pith:NY26UJQB submitted 2009-07-24 cond-mat.quant-gas

A. Recati , N. Pavloff , I. Carusotto This is my paper · ORCID
classification cond-mat.quant-gas
keywords hawkinganalyticalbogoliubovbose-einsteincondensatecondensatesdensityhorizon
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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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Cited by 3 Pith papers

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    cond-mat.mes-hall 2019-07 unverdicted novelty 5.0 of 10

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