Chaos and pole-skipping in a simply spinning plasma
Abstract We study the relationship between many-body quantum chaos and energy dynamics in holographic quantum field theory states dual to the simply-spinning Myers-Perry-AdS5 black hole. The enhanced symmetry of such black holes allows us to provide a thorough examination of the phenomenon of pole-s...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-02-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2023)253 |
| _version_ | 1827900053868511232 |
|---|---|
| author | Markus A. G. Amano Mike Blake Casey Cartwright Matthias Kaminski Anthony P. Thompson |
| author_facet | Markus A. G. Amano Mike Blake Casey Cartwright Matthias Kaminski Anthony P. Thompson |
| author_sort | Markus A. G. Amano |
| collection | DOAJ |
| description | Abstract We study the relationship between many-body quantum chaos and energy dynamics in holographic quantum field theory states dual to the simply-spinning Myers-Perry-AdS5 black hole. The enhanced symmetry of such black holes allows us to provide a thorough examination of the phenomenon of pole-skipping, that is significantly simpler than a previous analysis of quantum field theory states dual to the Kerr-AdS4 solution. In particular we give a general proof of pole-skipping in the retarded energy density Green’s function of the dual quantum field theory whenever the spatial profile of energy fluctuations satisfies the shockwave equation governing the form of the OTOC. Furthermore, in the large black hole limit we are able to obtain a simple analytic expression for the OTOC for operator configurations on Hopf circles, and demonstrate that the associated Lyapunov exponent and butterfly velocity are robustly related to the locations of a family of pole-skipping points in the energy response. Finally, we note that in contrast to previous studies, our results are valid for any value of rotation and we are able to numerically demonstrate that the dispersion relations of sound modes in the energy response explicitly pass through our pole-skipping locations. |
| first_indexed | 2024-03-12T23:25:49Z |
| format | Article |
| id | doaj.art-063ea416529d4ae199494607fd5421d6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T23:25:49Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-063ea416529d4ae199494607fd5421d62023-07-16T11:07:36ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023212610.1007/JHEP02(2023)253Chaos and pole-skipping in a simply spinning plasmaMarkus A. G. Amano0Mike Blake1Casey Cartwright2Matthias Kaminski3Anthony P. Thompson4Institute of Contemporary Mathematics, School of Mathematics and Statistics, Henan UniversitySchool of Mathematics, University of BristolDepartment of Physics and Astronomy, University of AlabamaDepartment of Physics and Astronomy, University of AlabamaSchool of Mathematics, University of BristolAbstract We study the relationship between many-body quantum chaos and energy dynamics in holographic quantum field theory states dual to the simply-spinning Myers-Perry-AdS5 black hole. The enhanced symmetry of such black holes allows us to provide a thorough examination of the phenomenon of pole-skipping, that is significantly simpler than a previous analysis of quantum field theory states dual to the Kerr-AdS4 solution. In particular we give a general proof of pole-skipping in the retarded energy density Green’s function of the dual quantum field theory whenever the spatial profile of energy fluctuations satisfies the shockwave equation governing the form of the OTOC. Furthermore, in the large black hole limit we are able to obtain a simple analytic expression for the OTOC for operator configurations on Hopf circles, and demonstrate that the associated Lyapunov exponent and butterfly velocity are robustly related to the locations of a family of pole-skipping points in the energy response. Finally, we note that in contrast to previous studies, our results are valid for any value of rotation and we are able to numerically demonstrate that the dispersion relations of sound modes in the energy response explicitly pass through our pole-skipping locations.https://doi.org/10.1007/JHEP02(2023)253AdS-CFT CorrespondenceHolography and Condensed Matter Physics (AdS/CMT)Holography and Hydrodynamics |
| spellingShingle | Markus A. G. Amano Mike Blake Casey Cartwright Matthias Kaminski Anthony P. Thompson Chaos and pole-skipping in a simply spinning plasma Journal of High Energy Physics AdS-CFT Correspondence Holography and Condensed Matter Physics (AdS/CMT) Holography and Hydrodynamics |
| title | Chaos and pole-skipping in a simply spinning plasma |
| title_full | Chaos and pole-skipping in a simply spinning plasma |
| title_fullStr | Chaos and pole-skipping in a simply spinning plasma |
| title_full_unstemmed | Chaos and pole-skipping in a simply spinning plasma |
| title_short | Chaos and pole-skipping in a simply spinning plasma |
| title_sort | chaos and pole skipping in a simply spinning plasma |
| topic | AdS-CFT Correspondence Holography and Condensed Matter Physics (AdS/CMT) Holography and Hydrodynamics |
| url | https://doi.org/10.1007/JHEP02(2023)253 |
| work_keys_str_mv | AT markusagamano chaosandpoleskippinginasimplyspinningplasma AT mikeblake chaosandpoleskippinginasimplyspinningplasma AT caseycartwright chaosandpoleskippinginasimplyspinningplasma AT matthiaskaminski chaosandpoleskippinginasimplyspinningplasma AT anthonypthompson chaosandpoleskippinginasimplyspinningplasma |