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  • Letter
  • Open Access

Entanglement asymmetry study of black hole radiation

Filiberto Ares1, Sara Murciano2, Lorenzo Piroli3, and Pasquale Calabrese1,4

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Phys. Rev. D 110, L061901 – Published 13 September, 2024

DOI: https://doi.org/10.1103/PhysRevD.110.L061901

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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Phys. Rev. D 110, L061901– Published 13 September, 2024
  • Received 8 December 2023
  • Accepted 5 August 2024
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