JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR: "Bogoliubov Theory of acoustic Hawking radiation in Bose-Einstein Condensates"

[statphys]

JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR

Tuesday, 24 November 2009   -   11:00 hrs

Seminar Room
ICTP Leonardo Building - 1st floor

Alessio RECATI
(University of Trento)

" Bogoliubov Theory of acoustic Hawking radiation in Bose-Einstein 
Condensates"

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.