Quantum correlations across the black hole horizon

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.124033· OSTI ID:21408087

Schuetzhold, Ralf ^[1]; Unruh, William G ^[2]

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1. Fakultaet fuer Physik, Universitaet Duisburg-Essen, D-47048 Duisburg (Germany)
2. Canadian Institute for Advanced Research Cosmology and Gravity Program, Department of Physics and Astronomy, University of British Columbia, Vancouver B.C., V6T 1Z1 (Canada)

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 k, 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.

• OSTI ID: 21408087
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 12; Other Information: DOI: 10.1103/PhysRevD.81.124033; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
CORRELATIONS
COSMOLOGY
DISPERSION RELATIONS
LIGHT CONE
LORENTZ INVARIANCE
PARTICLES
QUANTUM ENTANGLEMENT
SIMULATION
SINGULARITY
INVARIANCE PRINCIPLES
SPACE-TIME