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PhysRevLett.126.081601.pdf | 604.02 kB | Adobe PDF | 見る/開く |
タイトル: | Pseudo-Entropy in Free Quantum Field Theories |
著者: | Mollabashi, Ali Shiba, Noburo Takayanagi, Tadashi https://orcid.org/0000-0001-7187-3130 (unconfirmed) Tamaoka, Kotaro Wei, Zixia |
著者名の別形: | 芝, 暢郎 髙柳, 匡 玉岡, 幸太郎 魏, 子夏 |
キーワード: | Conformal field theory Entanglement in field theory Gauge-gravity dualities Mathematical physics Particles & Fields Condensed Matter, Materials & Applied Physics Interdisciplinary Physics |
発行日: | Feb-2021 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review Letters |
巻: | 126 |
号: | 8 |
論文番号: | 081601 |
抄録: | Pseudo-entropy is an interesting quantity with a simple gravity dual, which generalizes entanglement entropy such that it depends on both an initial and a final state. Here we reveal the basic properties of pseudo-entropy in quantum field theories by numerically calculating this quantity for a set of two-dimensional free-scalar field theories and the Ising spin chain. We extend the Gaussian method for pseudo-entropy in free-scalar theories with two parameters: mass m and dynamical exponent z. This computation finds two novel properties of pseudo-entropy which we conjecture to be universal in field theories, in addition to an area law behavior. One is a saturation behavior and the other one is nonpositivity of the difference between pseudo-entropy and averaged entanglement entropy. Moreover, our numerical results for the Ising chain imply that pseudo-entropy can play a role as a new quantum order parameter which detects whether two states are in the same quantum phase or not. |
著作権等: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. |
URI: | http://hdl.handle.net/2433/274727 |
DOI(出版社版): | 10.1103/PhysRevLett.126.081601 |
PubMed ID: | 33709751 |
出現コレクション: | 学術雑誌掲載論文等 |
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