Many-body chaos and energy dynamics in holography
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...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2018
|
| Online Access: | http://hdl.handle.net/1721.1/119249 https://orcid.org/0000-0002-4911-3183 |
| _version_ | 1826199689000648704 |
|---|---|
| author | Davison, Richard A. Blake, Michael Andrew Grozdanov, Saso Liu, Hong |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Davison, Richard A. Blake, Michael Andrew Grozdanov, Saso Liu, Hong |
| author_sort | Davison, Richard A. |
| collection | MIT |
| description | 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[subscript B] in the complex frequency and momentum plane. Here λ and v[subscript 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 | 2024-09-23T11:23:57Z |
| format | Article |
| id | mit-1721.1/119249 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:23:57Z |
| publishDate | 2018 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1192492022-10-01T03:23:18Z Many-body chaos and energy dynamics in holography Davison, Richard A. Blake, Michael Andrew Grozdanov, Saso Liu, Hong Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Blake, Michael Andrew Grozdanov, Saso Liu, Hong 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[subscript B] in the complex frequency and momentum plane. Here λ and v[subscript 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. United States. Department of Energy. Office of High Energy and Nuclear Physics (Contract Number DE-SC0012567) United States. Department of Energy (Contract Number DE-SC0011090) 2018-11-21T19:59:36Z 2018-11-21T19:59:36Z 2018-10 2018-11-09T07:14:04Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/119249 Blake, Mike, et al. “Many-Body Chaos and Energy Dynamics in Holography.” Journal of High Energy Physics, vol. 2018, no. 10, Oct. 2018. https://orcid.org/0000-0002-4911-3183 en https://doi.org/10.1007/JHEP10(2018)035 Journal of High Energy Physics Creative Commons Attribution The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Davison, Richard A. Blake, Michael Andrew Grozdanov, Saso Liu, Hong Many-body chaos and energy dynamics in holography |
| 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 |
| url | http://hdl.handle.net/1721.1/119249 https://orcid.org/0000-0002-4911-3183 |
| work_keys_str_mv | AT davisonricharda manybodychaosandenergydynamicsinholography AT blakemichaelandrew manybodychaosandenergydynamicsinholography AT grozdanovsaso manybodychaosandenergydynamicsinholography AT liuhong manybodychaosandenergydynamicsinholography |