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arXiv · 2311.12362

Genuinely accessible and inaccessible entanglement in Schwarzschild black hole

Shu-Min Wu·Xiao-Wei Teng·Jin-Xuan Li·Si-Han Li·Tong-Hua Liu·Jie-Ci Wang
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Abstract

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.

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Shu-Min Wu, Xiao-Wei Teng, Jin-Xuan Li, Si-Han Li, Tong-Hua Liu, Jie-Ci Wang. 2023-11-21. Genuinely accessible and inaccessible entanglement in Schwarzschild black hole. https://arxiv.org/abs/2311.12362

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