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ファイル | 記述 | サイズ | フォーマット | |
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JHEP05(2023)052.pdf | 3.38 MB | Adobe PDF | 見る/開く |
タイトル: | Timelike entanglement entropy |
著者: | Doi, Kazuki Harper, Jonathan Mollabashi, Ali Takayanagi, Tadashi https://orcid.org/0000-0001-7187-3130 (unconfirmed) Taki, Yusuke |
著者名の別形: | 土井, 一輝 髙柳, 匡 瀧, 祐介 |
キーワード: | AdS-CFT Correspondence Models of Quantum Gravity |
発行日: | May-2023 |
出版者: | Springer Nature |
誌名: | Journal of High Energy Physics |
巻: | 2023 |
号: | 5 |
論文番号: | 52 |
抄録: | We define a new complex-valued measure of information called the timelike entanglement entropy (EE) which in the boundary theory can be viewed as a Wick rotation that changes a spacelike boundary subregion to a timelike one. An explicit definition of the timelike EE in 2d field theories is provided followed by numerical computations which agree with the analytic continuation of the replica method for CFTs. We argue that timelike EE should be correctly interpreted as another measure previously considered, the pseudo entropy, which is the von Neumann entropy of a reduced transition matrix. Our results strongly imply that the imaginary part of the pseudo entropy describes an emergent time which generalizes the notion of an emergent space from quantum entanglement. For holographic systems we define the timelike EE as the total complex valued area of a particular stationary combination of both space and timelike extremal surfaces which are homologous to the boundary region. For the examples considered we find explicit matching of our optimization procedure and the careful implementation of the Wick rotation in the boundary CFT. We also make progress on higher dimensional generalizations and relations to holographic pseudo entropy in de Sitter space. |
著作権等: | © The Authors This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. |
URI: | http://hdl.handle.net/2433/287455 |
DOI(出版社版): | 10.1007/JHEP05(2023)052 |
出現コレクション: | 学術雑誌掲載論文等 |
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