Step-like discontinuities in Bose-Einstein condensates and Hawking radiation: dispersion effects

TL;DR

This paper analytically investigates how dispersion affects the propagation of phonons in Bose-Einstein condensates with step-like discontinuities, focusing on the resulting Hawking radiation signals in acoustic black hole analogs.

Contribution

It extends previous hydrodynamic models by incorporating dispersion effects into the analysis of phonon propagation and Hawking signals in BECs with sharp discontinuities.

Findings

Dispersion modifies the phonon propagation characteristics.

Hawking radiation signals are affected by dispersion effects.

Analytical results clarify the role of dispersion in acoustic black hole analogs.

Abstract

In this paper we extend the hydrodynamic results of [1] and study, analytically, the propagation of Bogoliubov phonons on top of Bose-Einstein condensates with step-like discontinuities by taking into account dispersion effects. We focus on the Hawking signal in the density-density correlations in the formation of acoustic black hole-like configurations.