Low frequency analogue Hawking radiation: The Bogoliubov-de Gennes model
arXiv:1707.09664 · doi:10.1103/PhysRevD.97.025006
Abstract
We analytically study the low-frequency properties of the analogue Hawking effect in Bose-Einstein condensates. We show that in one-dimensional flows displaying an analogue horizon, the Hawking effect is dominant in the low-frequency regime. This happens despite non vanishing greybody factors, that is, the coupling of the Hawking mode and its partner to the mode propagating with the flow. To show this, we obtained analytical expressions for the scattering coefficients, in general flows and taking into account the full Bogoliubov dispersion relation. We discuss the obtained expressions for the greybody factors. In particular, we show that they can be significantly decreased if the flow obeys a conformal coupling condition. We argue that in the presence of a small but non-zero temperature, reducing greybody factors greatly facilitates the observation of entanglement, that is, establishing that the state of the Hawking mode and its partner is non-separable.
arXiv comment27 pages, 4 figures. v2: typo corrected, few clarifications, references added
References in corpus (35)
- Theory of Bose-Einstein condensation in trapped gases
- Analogue Gravity
- Stable 85Rb Bose-Einstein Condensates with Widely Tunable Interactions
- Regimes of quantum degeneracy in trapped 1D gases
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Observation of quantum Hawking radiation and its entanglement in an analogue black hole
- Measurement of stimulated Hawking emission in an analogue system
- Hawking Spectrum and High Frequency Dispersion
- Hawking radiation from ultrashort laser pulse filaments
- Sonic black holes in dilute Bose-Einstein condensates
- Observation of superradiance in a vortex flow
- Hawking Radiation Without Transplanckian Frequencies
- Non-local density correlations as signal of Hawking radiation in BEC acoustic black holes
- Black-hole radiation in Bose-Einstein condensates
- Observation of noise correlated by the Hawking effect in a water tank
- On the Universality of the Hawking Effect
- Breakdown of superfluidity of an atom laser past an obstacle
- Quantum fluctuations around black hole horizons in Bose-Einstein condensates
- Black hole radiation with short distance dispersion, an analytical S-matrix approach
- Quantum entanglement in analogue Hawking radiation, when is the final state non-separable ?
- Generalization of the model of Hawking radiation with modified high frequency dispersion relation
- Phonon spectrum and correlations in a transonic flow of an atomic Bose gas
- Undulations from amplified low frequency surface waves
- Step-like discontinuities in Bose-Einstein condensates and Hawking radiation: dispersion effects
- On Quantum Correlations across the Black Hole Horizon
- Hawking radiation of massive modes and undulations
- On the observation of nonclassical excitations in Bose-Einstein condensates
- From vacuum fluctuations across an event horizon to long distance correlations
- Low frequency gray-body factors and infrared divergences: rigorous results
- Hawking radiation with dispersion: The broadened horizon paradigm
- Low frequency analogue Hawking radiation: The Korteweg-de Vries model
- Step-like discontinuities in Bose-Einstein condensates and Hawking radiation: the hydrodynamic limit
- Gray-body factor and infrared divergences in 1D BEC acoustic black holes
- Scattering coefficients and gray-body factor for 1D BEC acoustic black holes: exact results
- An exact solution for the Hawking effect in a dispersive fluid
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- Observation of thermal Hawking radiation at the Hawking temperature in an analogue black hole
- Departing from thermality of analogue Hawking radiation in a Bose-Einstein condensate
- Polariton fluids for analogue gravity physics
- Analogue gravity and the Hawking effect: historical perspective and literature review
- Stimulating the Quantum Aspects of an Optical Analog White-Black Hole
- Momentum correlations as signature of sonic Hawking radiation in Bose-Einstein condensates
- The influence of spacetime curvature on quantum emission in optical analogues to gravity
- Proposal for an analog Schwarzschild black hole in condensates of light
- Analytical description of quantum emission in optical analogues to gravity
- Violation of Bell inequalities in an analogue black hole
- Tunneling method for Hawking quanta in analogue gravity
- Analogue Hawking Effect: BEC and Surface Waves
- Analogous Hawking radiation and quantum entanglement in two-component Bose-Einstein condensates: the gapped excitations
- Analogue Hawking Effect: a master equation
- Analogous Hawking radiation from gapped excitations in a transonic flow of binary Bose-Einstein condensates
- On the role of interactions in trans-sonically flowing atomic condensates
- Analogue quantum simulation of the Hawking effect in a polariton superfluid
- Bipartite and tripartite entanglement in a Bose-Einstein acoustic black hole
- Perturbative Approach to Analog Hawking Radiation in dielectric media in subcritical regime
- Holographic superfluid sound modes with bulk acoustic black hole