An entanglement asymmetry study of black hole radiation

• URL: http://arxiv.org/abs/2311.12683v2
• Date: Mon, 16 Sep 2024 17:43:19 GMT
• Title: An entanglement asymmetry study of black hole radiation
• Authors: Filiberto Ares, Sara Murciano, Lorenzo Piroli, Pasquale Calabrese,
• Abstract summary: Hawking's discovery that black holes can evaporate through radiation emission has posed a number of questions. We employ entanglement asymmetry as a modern, information-based indicator of symmetry breaking. Our findings imply that the emitted radiation is symmetric up to the Page time and then undergoes a sharp transition.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Hawking's discovery that black holes can evaporate through radiation emission has posed a number of questions that with time became fundamental hallmarks for a quantum theory of gravity. The most famous one is likely the information paradox, which finds an elegant explanation in the Page argument suggesting that a black hole and its radiation can be effectively represented by a random state of qubits. Leveraging the same assumption, we ponder the extent to which a black hole may display emergent symmetries, employing the entanglement asymmetry as a modern, information-based indicator of symmetry breaking. We find that for a random state devoid of any symmetry, a $U(1)$ symmetry emerges and it is exact in the thermodynamic limit before the Page time. At the Page time, the entanglement asymmetry shows a finite jump to a large value. Our findings imply that the emitted radiation is symmetric up to the Page time and then undergoes a sharp transition. Conversely the black hole is symmetric only after the Page time.

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