Entanglement and entropy uncertainty in black hole quantum atmosphere
arXiv:2506.10631 · doi:10.1016/j.physletb.2025.139648
Abstract
In this work, we investigate the properties of Hawking radiation induced by the quantum atmosphere beyond the event horizon, by considering two detectors in Schwarzschild spacetime with the parameterized Hartle-Hawking temperature. \textcolor{black}{We explicitly study the dynamics of quantum entanglement and found that its characteristics are closely correlated with Hawking quantum radiation beyond the event horizon. Namely, its minimal value corresponds to the peak of Hawking radiation.} By virtue of the mutual information, we demonstrate the complementary relationship of the information distribution in the black hole. In addition, we detailedly discuss the influence of distance from the center of black hole to particle, radius of event horizon and Hartle-Hawking constant on the entropy uncertainty in the current scenario, and the results interestingly show that there exists an opposite correlation between the entanglement and the entropy uncertainty. It is believed that our observation could provide a new perspective for understanding the black hole information paradox and black hole thermodynamics.
arXiv comment7 pages, 4 figures, comments are welcomed. Accepted by Physics Letters B
References in corpus (30)
- Quantum Cryptography
- Quantum cryptography: Public key distribution and coin tossing
- Quantum secret sharing
- Security of quantum key distribution using d-level systems
- The Uncertainty Principle in the Presence of Quantum Memory
- On the role of entanglement in quantum computational speed-up
- Black Holes in Higher Dimensions
- EPR Steering Inequalities from Entropic Uncertainty Relations
- Conjectured Strong Complementary Information Tradeoff
- Experimental investigation of the uncertainty principle in the presence of quantum memory
- Experimental investigation of the entanglement-assisted entropic uncertainty principle
- Hawking radiation, the Stefan-Boltzmann law, and unitarization
- Continuous-variable quantum cryptography is secure against non-gaussian attacks
- Unconditional security from noisy quantum storage
- Genuinely Multipartite Concurrence of N-qubit X-matrices
- True precision limits in quantum metrology
- Tightening the entropic uncertainty bound in the presence of quantum memory
- Improved tripartite uncertainty relation with quantum memory
- Entanglement sampling and applications
- Late-time behavior of massive Dirac fields in a Schwarzschild background
- Optimized entropic uncertainty relations for multiple measurements
- Fine-grained lower limit of entropic uncertainty in the presence of quantum memory
- Environment-mediated entropic uncertainty in charging quantum batteries
- Heisenberg-style bounds for arbitrary estimates of shift parameters including prior information
- Entropic uncertainty relations in Schwarzschild space-time
- Complementary sequential measurements generate entanglement
- Hawking radiation and the Stefan-Boltzmann law: The effective radius of the black-hole quantum atmosphere
- The Quantum Atmosphere of Reissner-Nordström Black Holes
- Phase transitions in charged topological black holes dressed with a scalar hair
- Test of quantum atmosphere in the dimensionally reduced Schwarzschild black hole