Noncommutative analogue AharonovBohm effect and superresonance
Abstract
We consider the idea of modeling a rotating acoustic black hole by an idealized draining bathtub vortex which is a planar circulating flow phenomenon with a sink at the origin. We find the acoustic metric for this phenomenon from a noncommutative Abelian Higgs model. As such the acoustic metric not only describes a rotating acoustic black hole but also inherits the noncommutative characteristic of the spacetime. We address the issues of superresonance and analogue AharonovBohm (AB) effect in this background. We mainly show that the scattering of planar waves by a draining bathtub vortex leads to a modified AB effect and due to spacetime noncommutativity, the phase shift persists even in the limit where the parameters associated with the circulation and draining vanish. Finally, we also find that the analogue AB effect and superresonance are competing phenomena at a noncommutative spacetime.
 Publication:

Physical Review D
 Pub Date:
 June 2013
 DOI:
 10.1103/PhysRevD.87.125015
 arXiv:
 arXiv:1210.7739
 Bibcode:
 2013PhRvD..87l5015A
 Keywords:

 11.10.Lm;
 11.30.Cp;
 Nonlinear or nonlocal theories and models;
 Lorentz and Poincare invariance;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 14 pages, no figures, Latex, version to appear in PRD