The fine structure of the peaks of the correlation function in acoustic black holes: a complete analytical model

TL;DR

This paper provides an exact analytical model for the detailed peak structure in the density-density correlation function of an acoustic black hole created in a Bose-Einstein condensate, enhancing understanding of its quantum properties.

Contribution

It introduces a complete analytical framework for the correlation function peaks in acoustic black holes with a specific sound velocity profile.

Findings

Exact computation of field modes for the chosen profile

Analytical description of correlation function peaks

Insights into quantum correlations in Bose-Einstein condensate black holes

Abstract

The detailed structure of the peaks appearing in the density-density correlation function for an acoustic black hole formed by a Bose-Einstein condensate is analytically discussed for a particular, but physically meaningful, sound velocity profile that allows the field modes to be exactly computed.