Hawking radiation in dispersive theories, the two regimes
arXiv:1202.6015 · doi:10.1103/PhysRevD.85.124027
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.
11 pages, 9 figures
References in corpus (9)
- Quantum Gravity at a Lifshitz Point
- Fiber-optical analogue of the event horizon
- Measurement of stimulated Hawking emission in an analogue system
- Hawking radiation from ultrashort laser pulse filaments
- A Primer for Black Hole Quantum Physics
- Hawking Radiation from Acoustic Black Holes, Short Distance and Back-Reaction Effects
- Black/White hole radiation from dispersive theories
- Acoustic white holes in flowing atomic Bose-Einstein condensates
- Step-like discontinuities in Bose-Einstein condensates and Hawking radiation: dispersion effects
Cited by in corpus (45)
- The theory of Hawking radiation in laboratory analogues
- Quantum entanglement in analogue Hawking radiation, when is the final state non-separable ?
- Quantum vacuum emission in a nonlinear optical medium illuminated by a strong laser pulse
- Probing the thermal character of analogue Hawking radiation for shallow water waves?
- Phonon spectrum and correlations in a transonic flow of an atomic Bose gas
- Undulations from amplified low frequency surface waves
- Derivation of Hawking radiation in dispersive dielectric media
- Mechanism of stimulated Hawking radiation in a laboratory Bose-Einstein condensate
- Non-linear effects in time-dependent transonic flows: An analysis of analogue black hole stability
- Black hole radiation in the presence of a universal horizon
- Hawking radiation of massive modes and undulations
- Saturation of black hole lasers in Bose-Einstein condensates
- Dissipative fields in de Sitter and black hole spacetimes: Quantum entanglement due to pair production and dissipation
- Nonlocal interactions in a BEC: an Analogue Gravity perspective
- Black holes and Hawking radiation in spacetime and its analogues
- Hawking radiation with dispersion: The broadened horizon paradigm
- Stimulating the Quantum Aspects of an Optical Analog White-Black Hole
- Low frequency analogue Hawking radiation: The Korteweg-de Vries model
- Superradiance in dispersive black hole analogues
- Symplectic circuits, entanglement, and stimulated Hawking radiation in analog gravity
- Scattering of gravity waves in subcritical flows over an obstacle
- Dispersive fields in de Sitter space and event horizon thermodynamics
- Instability of the superfluid flow as black-hole lasing effect
- Polariton Fluids as Quantum Field Theory Simulators on Tailored Curved Spacetimes
- Theoretical study of stimulated and spontaneous Hawking effects from an acoustic black hole in a hydrodynamically flowing fluid of light
- Tunneling method for Hawking quanta in analogue gravity
- Integral method for the calculation of Hawking radiation in dispersive media I. Symmetric asymptotics
- Slow Sound in a duct, effective transonic flows and analogue black holes
- Hawking radiation in the presence of high-momentum dissipation
- No hair theorems for analogue black holes
- Suppression of infrared instability in trans-sonic flows by condensation of zero-frequency short wave length phonons
- Integral method for the calculation of Hawking radiation in dispersive media II. Asymmetric asymptotics
- An exact solution for the Hawking effect in a dispersive fluid
- Amplifying the Hawking signal in BECs
- Gravity waves on modulated flows downstream from an obstacle: The transcritical case
- Quantum Potential induced UV-IR coupling in Analogue Hawking radiation: From Bose-Einstein Condensates to canonical acoustic black holes
- Vortices without inflow: bound spectra in horizonless rotational analogs
- Four-wave mixing and enhanced analogue Hawking effect in a nonlinear optical waveguide
- Robustness of entanglement in Hawking radiation for optical systems immersed in thermal baths
- Strange Horizons: Understanding Causal Barriers Beyond General Relativity
- On the Resilience of Black Hole Evaporation: Gravitational Tunneling through Universal Horizons
- Effects of the Quantum Potential on lower dimensional models of analogue gravity
- Wigner function method for the Gibbons-Hawking and the Unruh effect
- Particle Creation and Entanglement in Dispersive Model with Step Velocity Profile
- Superluminal modes in a quantum field simulator for cosmology from analog trans-Planckian physics