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.

arXiv comment6 pages, 2 figures. Final version. A double misprint in Eq. (21) of the published version has been corrected here

References in corpus (13)

• Analogue Gravity
• Sonic analog of gravitational black holes in Bose-Einstein condensates
• Collective oscillations of a 1D trapped Bose gas
• Sonic black holes in dilute Bose-Einstein condensates
• 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
• Black-hole radiation in Bose-Einstein condensates
• Telling Tails In The Presence Of A Cosmological Constant
• Radiative falloff in Schwarzschild-de Sitter spacetime
• Bulk and Brane Decay of a (4+n)-Dimensional Schwarzschild-De-Sitter Black Hole: Scalar Radiation
• Causal structure of acoustic spacetimes
• Hawking radiation correlations in Bose Einstein condensates using quantum field theory in curved space
• Step-like discontinuities in Bose-Einstein condensates and Hawking radiation: the hydrodynamic limit

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• Low frequency gray-body factors and infrared divergences: rigorous results
• Low frequency analogue Hawking radiation: The Korteweg-de Vries model
• Scattering coefficients and gray-body factor for 1D BEC acoustic black holes: exact results
• Slow Sound in a duct, effective transonic flows and analogue black holes
• Tripartite Entanglement of Hawking Radiation in Dispersive Model
• Analogue Hawking Effect: BEC and Surface Waves
• Analogous Hawking radiation and quantum entanglement in two-component Bose-Einstein condensates: the gapped excitations
• Some considerations on BEC analogue black holes