Finite width of the sonic event horizon and grey body Hawking radiation
arXiv:1411.7248 · doi:10.1142/S0217979216501976
Abstract
Finite width of the analog event horizon is determined by the nonlinearity length in the Kerr nonlinear optical system, which is discussed here, or by the healing length in Bose-Einstein condensates. The various eigen modes of fluctuations are found in the immediate vicinity of the event horizon and the scattering matrix due to the finite width horizon is calculated to within the leading order correction in the nonlinearity length. The Hawking radiation is found to be that of a grey body with the emissivity larger than one. A procedure of paraxial quantization of the fluctuation field is discussed and its connection to the conventional quantization of the electromagnetic field is demonstrated.
13 pages, 2 figures
References in corpus (19)
- Fiber-optical analogue of the event horizon
- Measurement of stimulated Hawking emission in an analogue system
- Observation of self-amplifying Hawking radiation in an analog black hole laser
- Hawking radiation from ultrashort laser pulse filaments
- Numerical observation of Hawking radiation from acoustic black holes in atomic Bose-Einstein condensates
- Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
- Analogue Hawking Radiation in a dc-SQUID Array Transmission Line
- Black/White hole radiation from dispersive theories
- The theory of optical dispersive shock waves in photorefractive media
- The theory of Hawking radiation in laboratory analogues
- Superfluid light in propagating geometries
- Propagation of a quantum fluid of light in a cavityless nonlinear optical medium: General theory and response to quantum quenches
- On the origin of the particles in black hole evaporation
- Spectrum and entanglement of phonons in quantum fluids of light
- Temporal dynamics of tunneling. Hydrodynamic approach
- Nonlinear diffraction of light beams propagating in photorefractive media with embedded reflecting wire
- Quantum Black Hole Wave Packet: Average Area Entropy and Temperature Dependent Width
- Hawking radiation with dispersion: The broadened horizon paradigm
- Amplifying the Hawking signal in BECs