Genuinely accessible and inaccessible entanglement in Schwarzschild black hole
| Autor: | Wu, Shu-Min, Teng, Xiao-Wei, Li, Jin-Xuan, Li, Si-Han, Liu, Tong-Hua, Wang, Jie-Ci |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Phys. Lett. B 848 (2024) 138334 |
| Druh dokumentu: | Working Paper |
| Popis: | The genuine entanglement of Dirac fields for an N-partite system is investigated in Schwarzschild spacetime and the analysis is carried out using the single-mode approximation. Due to the Hawking effect, quantum entanglement is divided into two parts physically accessible and inaccessible entanglement. We obtain a general analytic expression of genuine N-partite entanglement that includes all accessible and inaccessible entanglement in a Schwarzschild black hole. Unlike bosonic entanglement, the accessible N-partite entanglement of Dirac fields monotonically decreases to a nonzero value with the Hawking temperature. Interestingly, the inaccessible N-partite entanglement is a monotonic or non-monotonic function of the Hawking temperature, depending on the ratio between accessible and inaccessible modes, in contrast to bipartite or tripartite entanglement that is only a monotonic function of the Hawking temperature. Finally, we obtain two restrictive relationships for the quantum information of the black hole. This conclusion provides a new understanding of Hawking effect of the black hole. Comment: 14 pages, 1 figure |
| Databáze: | arXiv |
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