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PhysRevLett.120.241603.pdf | 357.13 kB | Adobe PDF | 見る/開く |
タイトル: | Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model |
著者: | García-García, Antonio M. Loureiro, Bruno Romero-Bermúdez, Aurelio Tezuka, Masaki https://orcid.org/0000-0001-7877-0839 (unconfirmed) |
著者名の別形: | 手塚, 真樹 |
発行日: | 15-Jun-2018 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review Letters |
巻: | 120 |
号: | 24 |
論文番号: | 241603 |
抄録: | Quantum chaos is one of the distinctive features of the Sachdev-Ye-Kitaev (SYK) model, N Majorana fermions in 0+1 dimensions with infinite-range two-body interactions, which is attracting a lot of interest as a toy model for holography. Here we show analytically and numerically that a generalized SYK model with an additional one-body infinite-range random interaction, which is a relevant perturbation in the infrared, is still quantum chaotic and retains most of its holographic features for a fixed value of the perturbation and sufficiently high temperature. However, a chaotic-integrable transition, characterized by the vanishing of the Lyapunov exponent and spectral correlations given by Poisson statistics, occurs at a temperature that depends on the strength of the perturbation. We speculate about the gravity dual of this transition. |
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/2433/232985 |
DOI(出版社版): | 10.1103/PhysRevLett.120.241603 |
PubMed ID: | 29956992 |
出現コレクション: | 学術雑誌掲載論文等 |
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