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ファイル | 記述 | サイズ | フォーマット | |
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PhysRevD.91.106009.pdf | 974.5 kB | Adobe PDF | 見る/開く |
タイトル: | Entanglement density and gravitational thermodynamics |
著者: | Bhattacharya, Jyotirmoy Hubeny, Veronika E. Rangamani, Mukund Takayanagi, Tadashi https://orcid.org/0000-0001-7187-3130 (unconfirmed) |
著者名の別形: | 高柳, 匡 |
発行日: | 21-May-2015 |
出版者: | American Physical Society |
誌名: | Physical Review D |
巻: | 91 |
号: | 10 |
論文番号: | 106009 |
抄録: | In an attempt to find a quasilocal measure of quantum entanglement, we introduce the concept of entanglement density in relativistic quantum theories. This density is defined in terms of infinitesimal variations of the region whose entanglement we monitor and in certain cases can be mapped to the variations of the generating points of the associated domain of dependence. We argue that strong subadditivity constrains the entanglement density to be positive semidefinite. Examining this density in the holographic context, we map its positivity to a statement of integrated null energy condition in the gravity dual. We further speculate that this may be mapped to a statement analogous to the second law of black hole thermodynamics for the extremal surface. |
著作権等: | © 2015 American Physical Society |
URI: | http://hdl.handle.net/2433/201565 |
DOI(出版社版): | 10.1103/PhysRevD.91.106009 |
出現コレクション: | 学術雑誌掲載論文等 |
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