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Constraints on the quantum state of pairs produced by semiclassical\n black holes

2015/03/18 by Ram Brustein, A. J. M. Medved, Brustein, Ram +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect

paper · pdf · doi:10.48550/arxiv.1503.05351

openalex publication_date 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The pair-production process for a black hole (BH) is discussed within the\nframework of a recently proposed semiclassical model of BH evaporation. Our\nemphasis is on how the requirements of unitary evolution and strong\nsubadditivity act to constrain the state of the produced pairs and their\nentanglement with the already emitted BH radiation. We find that the state of\nthe produced pairs is indeed strongly constrained but that the semiclassical\nmodel is consistent with all requirements. We are led to the following picture:\nInitially, the pairs are produced in a state of nearly maximal entanglement\namongst the partners, with a parametrically small entanglement between each\npositive-energy partner and the outgoing radiation, similar to Hawking's model.\nBut, as the BH evaporation progresses past the Page time, each positive-energy\npartner has a stronger entanglement with the outgoing radiation and,\nconsequently, is less strongly entangled with its negative-energy partner. We\npresent some evidence that this pattern of entanglement does not require\nnon-local interactions, only EPR-like non-local correlations.\n

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