Bogoliubov theory of acoustic Hawking radiation in Bose-Einstein condensates

Year: 2009

Authors: Recati A., Pavloff N., Carusotto I.

Autors Affiliation: Dipartimento di Fisica, Università di Trento and CNR-INFM BEC Center, I-38050 Povo, Trento, Italy;
Physik-Department, Technische Universität München, D-85748 Garching, Germany;
LPTMS, Université Paris Sud, UMR 8626, F-91405 Orsay, France

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.


Volume: 80 (4)      Pages from: 043603  to: 043603

More Information: We are grateful to F. Sols, I. Zapata, R. Parentani, and W. Zwerger for fruitful discussions. Continuous exchanges with R. Balbinot and A. Fabbri are warmly acknowledged. This work was supported by the IFRAF Institute, by Grant No. ANR-08-BLAN-0165-01, by Ministero dell-Istruzione, dellUniversita e della Ricerca (MIUR) and by the EuroQUAM FerMix program.
KeyWords: black holes; Bose-Einstein condensation; fluctuations
DOI: 10.1103/PhysRevA.80.043603

Citations: 110
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