Acoustic Analogue for Quantum Field Theory with a Source term

TL;DR

This paper introduces a fluid analogue model for a scalar quantum field with a source term, allowing the study of phonon creation in a relativistic acoustic setting, bridging fluid dynamics and quantum field theory.

Contribution

It presents a novel non-relativistic fluid analogue model that incorporates a source term for scalar fields, enabling the simulation of phonon creation due to sources in a relativistic framework.

Findings

Model successfully simulates phonon creation from sources

Establishes a link between fluid dynamics and quantum field theory with sources

Provides a basis for experimental analogue gravity studies

Abstract

We propose a non-relativistic fluid analogue model for a scalar field coupled to a classical source. The generic analogue gravity model involves the phonon field which is coupled to the acoustic metric. We work in the special relativity limit of the acoustic analogue. By assuming a time dependent external potential on the fluid system, we are able to model a source term for the scalar field. Upon quantisation, phonon creation due to the source is studied.