Analogue Aharonov-Bohm effect in a Lorentz-violating background

TL;DR

This paper studies how Lorentz symmetry violation in a relativistic fluid creates an analogue Aharonov-Bohm effect in acoustic black hole metrics, leading to persistent phase shifts even without circulation or draining.

Contribution

It introduces a novel analysis of Lorentz-violating backgrounds affecting acoustic black holes and demonstrates the persistence of the AB effect in the absence of circulation or draining.

Findings

Lorentz violation causes a persistent phase shift in wave scattering.

The Lorentz-violating background acts as a conical defect.

The AB effect occurs even when circulation and draining parameters vanish.

Abstract

In this paper we consider the acoustic black hole metrics obtained from a relativistic fluid under the influence of constant background that violates the Lorentz symmetry to study the analogue of the Aharonov-Bohm (AB) effect. We show that the scattering of planar waves by a draining bathtub vortex leads to a modified AB effect and due to the Lorentz symmetry breaking, the phase shift persists even in the limit where the parameters associated with the circulation and draining vanish. In this limit, the Lorentz-violating background forms a conical defect, which is also responsible for the appearance of the analogue AB effect.