Step-like discontinuities in Bose-Einstein condensates and Hawking radiation: the hydrodynamic limit

TL;DR

This paper analytically investigates how Bogoliubov phonons behave in Bose-Einstein condensates with step-like discontinuities, focusing on correlation patterns and implications for Hawking radiation analogs.

Contribution

It provides a detailed analytical framework for understanding phonon propagation and correlations in BECs with step discontinuities, relevant for simulating Hawking radiation.

Findings

Identification of characteristic correlation patterns in BECs with discontinuities

Analytical description of phonon propagation in the hydrodynamic limit

Insights into the formation of Hawking-like signals in acoustic black holes

Abstract

We present a detailed analytical analysis of the propagation of Bogoliubov phonons on top of Bose-Einstein condensates with spatial and temporal step-like discontinuities in the hydrodynamic limit and focus on some features in the correlations patterns, in particular of density-density correlations. The application to the study of the Hawking signal in the formation of acoustic black hole-like configurations is also discussed.