Many-body chaos and energy dynamics in holography
Abstract Recent developments have indicated that in addition to out-of-time ordered correlation functions (OTOCs), quantum chaos also has a sharp manifestation in the thermal energy density two-point functions, at least for maximally chaotic systems. The manifestation, referred to as pole-skipping,...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2018)035 |
| _version_ | 1828417339420311552 |
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| author | Mike Blake Richard A. Davison Sašo Grozdanov Hong Liu |
| author_facet | Mike Blake Richard A. Davison Sašo Grozdanov Hong Liu |
| author_sort | Mike Blake |
| collection | DOAJ |
| description | Abstract Recent developments have indicated that in addition to out-of-time ordered correlation functions (OTOCs), quantum chaos also has a sharp manifestation in the thermal energy density two-point functions, at least for maximally chaotic systems. The manifestation, referred to as pole-skipping, concerns the analytic behaviour of energy density two-point functions around a special point ω = iλ, k = iλ/v B in the complex frequency and momentum plane. Here λ and v B are the Lyapunov exponent and butterfly velocity characterising quantum chaos. In this paper we provide an argument that the phenomenon of pole-skipping is universal for general finite temperature systems dual to Einstein gravity coupled to matter. In doing so we uncover a surprising universal feature of the linearised Einstein equations around a static black hole geometry. We also study analytically a holographic axion model where all of the features of our general argument as well as the pole-skipping phenomenon can be verified in detail. |
| first_indexed | 2024-12-10T14:19:53Z |
| format | Article |
| id | doaj.art-2aa108614c4a4cf9817486732ba8d10c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T14:19:53Z |
| publishDate | 2018-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2aa108614c4a4cf9817486732ba8d10c2022-12-22T01:45:14ZengSpringerOpenJournal of High Energy Physics1029-84792018-10-0120181013710.1007/JHEP10(2018)035Many-body chaos and energy dynamics in holographyMike Blake0Richard A. Davison1Sašo Grozdanov2Hong Liu3Center for Theoretical Physics, Massachusetts Institute of TechnologyDepartment of Physics, Harvard UniversityCenter for Theoretical Physics, Massachusetts Institute of TechnologyCenter for Theoretical Physics, Massachusetts Institute of TechnologyAbstract Recent developments have indicated that in addition to out-of-time ordered correlation functions (OTOCs), quantum chaos also has a sharp manifestation in the thermal energy density two-point functions, at least for maximally chaotic systems. The manifestation, referred to as pole-skipping, concerns the analytic behaviour of energy density two-point functions around a special point ω = iλ, k = iλ/v B in the complex frequency and momentum plane. Here λ and v B are the Lyapunov exponent and butterfly velocity characterising quantum chaos. In this paper we provide an argument that the phenomenon of pole-skipping is universal for general finite temperature systems dual to Einstein gravity coupled to matter. In doing so we uncover a surprising universal feature of the linearised Einstein equations around a static black hole geometry. We also study analytically a holographic axion model where all of the features of our general argument as well as the pole-skipping phenomenon can be verified in detail.http://link.springer.com/article/10.1007/JHEP10(2018)035AdS-CFT CorrespondenceBlack HolesGauge-gravity correspondenceHolography and condensed matter physics (AdS/CMT) |
| spellingShingle | Mike Blake Richard A. Davison Sašo Grozdanov Hong Liu Many-body chaos and energy dynamics in holography Journal of High Energy Physics AdS-CFT Correspondence Black Holes Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) |
| title | Many-body chaos and energy dynamics in holography |
| title_full | Many-body chaos and energy dynamics in holography |
| title_fullStr | Many-body chaos and energy dynamics in holography |
| title_full_unstemmed | Many-body chaos and energy dynamics in holography |
| title_short | Many-body chaos and energy dynamics in holography |
| title_sort | many body chaos and energy dynamics in holography |
| topic | AdS-CFT Correspondence Black Holes Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) |
| url | http://link.springer.com/article/10.1007/JHEP10(2018)035 |
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