Genuinely accessible and inaccessible entanglement in Schwarzschild
black hole
- URL: http://arxiv.org/abs/2311.12362v1
- Date: Tue, 21 Nov 2023 05:47:24 GMT
- Title: Genuinely accessible and inaccessible entanglement in Schwarzschild
black hole
- Authors: Shu-Min Wu, Xiao-Wei Teng, Jin-Xuan Li, Si-Han Li, Tong-Hua Liu,
Jie-Ci Wang
- Abstract summary: The genuine entanglement of Dirac fields for an N-partite system is investigated in Schwarzschild spacetime.
We obtain a general analytic expression of genuine N-partite entanglement that includes all accessible and inaccessible entanglement in a Schwarzschild black hole.
- Score: 1.0935128538904226
- License: http://creativecommons.org/licenses/by/4.0/
- 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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