Analogue Aharonov-Bohm effect in a Lorentz-violating background

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.

10 pages, Latex, no figures; version published in Physical Review D. arXiv admin note: substantial text overlap with arXiv:1210.7739, arXiv:1101.2891

References in corpus (4)

• The Unruh effect and its applications
• Lorentz-violating effects on topological defects generated by two real scalar fields
• Traveling solitons in Lorentz-violating systems
• Scattering of spin 1/2 particles by the 2+1 dimensional noncommutative Aharonov-Bohm potential

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