Entanglement and apparent thermality in simulated black holes

Fuente: arXiv
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Hauptverfasser: Sofos, Iason A., Hallam, Andrew, Pachos, Jiannis K.
Format: Preprint
Veröffentlicht: 2025
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author Sofos, Iason A.
Hallam, Andrew
Pachos, Jiannis K.
author_facet Sofos, Iason A.
Hallam, Andrew
Pachos, Jiannis K.
contents We investigate the apparent thermality of Hawking radiation in the semi-classical limit of quantum black holes using the mean-field limit of a chiral spin-chain simulator, which models fermions propagating on a black hole space-time in the continuum. In this free-theory regime, no genuine thermalisation occurs. Nevertheless, we show that a bipartition across the event horizon yields a reduced density matrix whose mode occupations follow an apparent thermal Fermi-Dirac distribution. In contrast, partitions away from the horizon do not exhibit such thermal distributions, reflecting the absence of thermal behaviour. Our results demonstrate that Hawking radiation appears thermal only with respect to horizon bipartitions in free theories, whilst genuine thermal behaviour emerges only in the presence of interactions deep in the black hole interior.
format Preprint
id arxiv_https___arxiv_org_abs_2509_22774
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Entanglement and apparent thermality in simulated black holes
Sofos, Iason A.
Hallam, Andrew
Pachos, Jiannis K.
High Energy Physics - Theory
Strongly Correlated Electrons
General Relativity and Quantum Cosmology
Quantum Physics
We investigate the apparent thermality of Hawking radiation in the semi-classical limit of quantum black holes using the mean-field limit of a chiral spin-chain simulator, which models fermions propagating on a black hole space-time in the continuum. In this free-theory regime, no genuine thermalisation occurs. Nevertheless, we show that a bipartition across the event horizon yields a reduced density matrix whose mode occupations follow an apparent thermal Fermi-Dirac distribution. In contrast, partitions away from the horizon do not exhibit such thermal distributions, reflecting the absence of thermal behaviour. Our results demonstrate that Hawking radiation appears thermal only with respect to horizon bipartitions in free theories, whilst genuine thermal behaviour emerges only in the presence of interactions deep in the black hole interior.
title Entanglement and apparent thermality in simulated black holes
topic High Energy Physics - Theory
Strongly Correlated Electrons
General Relativity and Quantum Cosmology
Quantum Physics
url https://arxiv.org/abs/2509.22774