Bogoliubov Theory of acoustic Hawking radiation in Bose-Einstein Condensates

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