Hawking radiation correlations in Bose Einstein condensates using quantum field theory in curved space

TL;DR

This paper investigates Hawking radiation correlations in Bose-Einstein condensates by applying quantum field theory in curved spacetime, comparing theoretical predictions with condensed matter calculations to validate the approach.

Contribution

It introduces a method using quantum field theory in curved space to analyze Hawking radiation in Bose-Einstein condensates, validated against full condensed matter calculations.

Findings

Correlation functions match between quantum field theory and condensed matter calculations

The approximation holds for smooth flow profiles

Validates gravitational analogy in BEC Hawking radiation studies

Abstract

The density density correlation function is computed for the Bogoliubov pseudoparticles created in a Bose-Einstein condensate undergoing a black hole flow. On the basis of the gravitational analogy, the method used relies only on quantum field theory in curved spacetime techniques. A comparison with the results obtained by ab initio full condensed matter calculations is given, confirming the validity of the approximation used provided the profile of the flow varies smoothly on scales compared to the condensate healing length.