Correlation patterns from massive phonons in 1+1 dimensional acoustic black holes: A toy model

TL;DR

This paper investigates how transverse excitations in analogue black holes create a mass-like term affecting correlation functions, revealing complex structures distinct from the massless case through a simplified toy model.

Contribution

It introduces a toy model demonstrating the impact of transverse excitations on correlation patterns in 1+1D acoustic black holes, highlighting new structural features.

Findings

Correlation functions show groups of parallel peaks.

The structure differs significantly from the massless case.

Transverse excitations induce a mass-like term in the model.

Abstract

Transverse excitations in analogue black holes induce a mass like term in the longitudinal mode equation. With a simple toy model we show that correlation functions display a rather rich structure characterized by groups of parallel peaks. For the most part the structure is completely different from that found in the massless case.