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Dielectric black holes induced by a refractive index perturbation and the Hawking effect

F. Belgiorno1, S. L. Cacciatori2,3, G. Ortenzi4, L. Rizzi2, V. Gorini2,3, and D. Faccio5

  • 1Dipartimento di Fisica, Università di Milano, Via Celoria 16, IT-20133 Milano, Italy
  • 2Department of Physics and Mathematics, Università dell’Insubria, Via Valleggio 11, IT-22100 Como, Italy
  • 3INFN sezione di Milano, via Celoria 16, IT-20133 Milano, Italy
  • 4Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, Via Cozzi 53, IT-20125 Milano, Italy
  • 5School of Engineering and Physical Sciences, SUPA, Heriot-Watt University, Edinburgh, Scotland EH14 4AS, UK

Phys. Rev. D 83, 024015 – Published 13 January, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.024015

Abstract

We consider a 4D model for photon production induced by a refractive index perturbation in a dielectric medium. We show that, in this model, we can infer the presence of a Hawking type effect. This prediction shows up both in the analogue Hawking framework, which is implemented in the pulse frame and relies on the peculiar properties of the effective geometry in which quantum fields propagate, as well as in the laboratory frame, through standard quantum field theory calculations. Effects of optical dispersion are also taken into account, and are shown to provide a limited energy bandwidth for the emission of Hawking radiation.

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