Gray-body factor and infrared divergences in 1D BEC acoustic black holes

Abstract

It is shown that the gray-body factor for a one-dimensional elongated Bose-Einstein condensate (BEC) acoustic black hole with one horizon does not vanish in the low-frequency ($\omega \to 0$) limit. This implies that the analog Hawking radiation is dominated by the emission of an infinite number ($\frac{1}{\omega }$) of soft phonons in contrast with the case of a Schwarzschild black hole where the gray-body factor vanishes as $\omega \to 0$ and the spectrum is not dominated by low-energy particles. The infrared behaviors of certain correlation functions are also discussed.

6 pages, 2 figures. Final version. A double misprint in Eq. (21) of the published version has been corrected here

References in corpus (3)

• Numerical observation of Hawking radiation from acoustic black holes in atomic Bose-Einstein condensates
• Non-local density correlations as signal of Hawking radiation in BEC acoustic black holes
• Step-like discontinuities in Bose-Einstein condensates and Hawking radiation: the hydrodynamic limit

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• Low frequency analogue Hawking radiation: The Bogoliubov-de Gennes model
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• Low frequency analogue Hawking radiation: The Korteweg-de Vries model
• Tripartite Entanglement of Hawking Radiation in Dispersive Model
• Analogous Hawking radiation and quantum entanglement in two-component Bose-Einstein condensates: the gapped excitations
• Some considerations on BEC analogue black holes