Genuinely accessible and inaccessible entanglement in Schwarzschild black hole
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 entangleme...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-01-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269323006688 |
| _version_ | 1797363816102625280 |
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| author | Shu-Min Wu Xiao-Wei Teng Jin-Xuan Li Si-Han Li Tong-Hua Liu Jie-Ci Wang |
| author_facet | Shu-Min Wu Xiao-Wei Teng Jin-Xuan Li Si-Han Li Tong-Hua Liu Jie-Ci Wang |
| author_sort | Shu-Min Wu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T16:26:22Z |
| format | Article |
| id | doaj.art-8649d256a363462db22d8d0b1fde3d20 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-03-08T16:26:22Z |
| publishDate | 2024-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-8649d256a363462db22d8d0b1fde3d202024-01-07T04:27:52ZengElsevierPhysics Letters B0370-26932024-01-01848138334Genuinely accessible and inaccessible entanglement in Schwarzschild black holeShu-Min Wu0Xiao-Wei Teng1Jin-Xuan Li2Si-Han Li3Tong-Hua Liu4Jie-Ci Wang5Department of Physics, Liaoning Normal University, Dalian 116029, ChinaDepartment of Physics, Liaoning Normal University, Dalian 116029, ChinaDepartment of Physics, Liaoning Normal University, Dalian 116029, ChinaDepartment of Physics, Liaoning Normal University, Dalian 116029, ChinaSchool of Physics and Optoelectronic Engineering, Yangtze University, Jingzhou 434023, China; Corresponding authors.Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, Hunan 410081, China; Corresponding authors.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.http://www.sciencedirect.com/science/article/pii/S0370269323006688 |
| spellingShingle | Shu-Min Wu Xiao-Wei Teng Jin-Xuan Li Si-Han Li Tong-Hua Liu Jie-Ci Wang Genuinely accessible and inaccessible entanglement in Schwarzschild black hole Physics Letters B |
| title | Genuinely accessible and inaccessible entanglement in Schwarzschild black hole |
| title_full | Genuinely accessible and inaccessible entanglement in Schwarzschild black hole |
| title_fullStr | Genuinely accessible and inaccessible entanglement in Schwarzschild black hole |
| title_full_unstemmed | Genuinely accessible and inaccessible entanglement in Schwarzschild black hole |
| title_short | Genuinely accessible and inaccessible entanglement in Schwarzschild black hole |
| title_sort | genuinely accessible and inaccessible entanglement in schwarzschild black hole |
| url | http://www.sciencedirect.com/science/article/pii/S0370269323006688 |
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