On Quantum Correlations across the Black Hole Horizon
arXiv:1002.1844 · doi:10.1103/PhysRevD.81.124033
Abstract
Inspired by the condensed-matter analogues of black holes, we study the quantum correlations across the event horizon reflecting the entanglement between the outgoing particles of the Hawking radiation and their in-falling partners. For a perfectly covariant theory, the total correlation is conserved in time and piles up arbitrary close to the horizon in the past, where it merges into the singularity of the vacuum two-point function at the light cone. After modifying the dispersion relation (i.e., breaking Lorentz invariance) for large , on the other hand, the light cone is smeared out and the entanglement is not conserved but actually created in a given rate per unit time.
5 pages RevTeX, 1 figure
References in corpus (7)
- 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
- Bogoliubov Theory of acoustic Hawking radiation in Bose-Einstein Condensates
- On the origin of the particles in black hole evaporation
- Black hole entanglement entropy regularized in a freely falling frame
- Quantum toy model for black-hole back-reaction
- Emergent Horizons in the Laboratory
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