Scientific Results

Hawking radiation in dispersive theories, the two regimes

Year: 2012

Authors: Finazzi S., Parentani R.

Autors Affiliation: INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, via Sommarive 14, 38123 Povo—Trento, Italy; Laboratoire de Physique Théorique, CNRS UMR 8627, Bâtiment 210, Université Paris-Sud 11, 91405 Orsay Cedex, France

Abstract: We compute the black hole radiation spectrum in the presence of high-frequency dispersion in a large set of situations. In all cases, the spectrum diverges like the inverse of the Killing frequency. When studying the low-frequency spectrum, we find only two regimes: an adiabatic one where the corrections with respect to the standard temperature are small, and an abrupt one regulated by dispersion, in which the near-horizon metric can be replaced by step functions. The transition from one regime to the other is governed by a single parameter which also governs the net redshift undergone by dispersive modes. These results can be used to characterize the quasiparticles spectrum of recent and future experiments aiming to detect the analogue Hawking radiation. They also apply to theories of quantum gravity which violate Lorentz invariance.

Journal/Review: PHYSICAL REVIEW D

Volume: 85 (12)      Pages from: 124027  to: 124027

More Information: S. F. thanks I. Carusotto for helpful suggestions and A. Recati for explanations about Ref. [18]. R. P. wishes to thank U. Leonhardt for conversations (in Winter 2004) on Hawking radiation in optical fibers during which he realized that the parameter D and the number of e-folds must play a crucial role. We both thank A. Coutant for a careful reading of this work. S. F. has been supported by the Foundational Questions Institute (FQXi) Grant No. FQXi-MGA-1002.
DOI: 10.1103/PhysRevD.85.124027

Citations: 34
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