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PreprintCC BY 4.0arXiv

Black holes with quantum corrections in 3d: The case of Page curve in Lindblad, greybody factor, and Lyapunov exponent

Abstract

In this work, first we discuss black holes with quantum corrections as an open quantum system and apply Lindblad formalism to explain the ``zig-zag" behavior in the Hawking- Page curve and radiation process, specially by considering the effects of exceptional points. Then, we calculate quantum corrections for various parameters of 3d Cotler-Jensen theory which is AdS3 with reparametrized modes. At each step of the calculations, we compare the results with the case of JT. We then calculate quantum-corrected greybody factor for various black hole solutions, and specially for the case of Cotler-Jensen theory. Finally, we study the effects of quantum corrections on Lyapunov exponent, potential, and quantum information structure of black holes.

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BibTeX
@misc{ghodrati2026black,
  title = {{Black holes with quantum corrections in $3d$: The case of Page curve in Lindblad, greybody factor, and Lyapunov exponent}},
  author = {Mahdis Ghodrati},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.01025},
  eprint = {2606.01025},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.01025},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Black holes with quantum corrections in 3d: The case of Page curve in Lindblad, greybody factor, and Lyapunov exponent
AU  - Mahdis Ghodrati
PY  - 2026
DA  - 2026/10/10
PB  - arXiv
DO  - 10.48550/arxiv.2606.01025
UR  - https://arxiv.org/abs/2606.01025
AB  - In this work, first we discuss black holes with quantum corrections as an open quantum system and apply Lindblad formalism to explain the ``zig-zag" behavior in the Hawking- Page curve and radiation process, specially by considering the effects of exceptional points. Then, we calculate quantum corrections for various parameters of 3d Cotler-Jensen theory which is AdS_3 with reparametrized modes. At each step of the calculations, we compare the results with the case of JT. We then calculate quantum-corrected greybody factor for various black hole solutions, and specially for the case of Cotler-Jensen theory. Finally, we study the effects of quantum corrections on Lyapunov exponent, potential, and quantum information structure of black holes.
ER  -