A. Recati 1, 2, N. Pavloff 3, I. Carusotto 1
Physical Review A: Atomic, Molecular and Optical Physics 80 (2009) 043603
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.
- 1. Università di Trento (INO-CNR BEC),
UNIVERSITÀ DEGLI STUDI DI TRENTO - 2. Physik Department,
Technische Universität München - 3. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
CNRS : UMR8626 – Université Paris XI – Paris Sud