The cosmological switchback effect
Abstract The volume behind the black hole horizon was suggested as a holographic dual for the quantum computational complexity of the boundary state in AdS/CFT. This identification is strongly motivated by the switchback effect: a characteristic delay of complexity growth in reaction to an inserted...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2023)162 |
| _version_ | 1827781414772277248 |
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| author | Stefano Baiguera Rotem Berman Shira Chapman Robert C. Myers |
| author_facet | Stefano Baiguera Rotem Berman Shira Chapman Robert C. Myers |
| author_sort | Stefano Baiguera |
| collection | DOAJ |
| description | Abstract The volume behind the black hole horizon was suggested as a holographic dual for the quantum computational complexity of the boundary state in AdS/CFT. This identification is strongly motivated by the switchback effect: a characteristic delay of complexity growth in reaction to an inserted perturbation, modelled as a shockwave in the bulk. Recent proposals of de Sitter (dS) holography suggest that a dual theory could be living on a stretched horizon near the cosmological horizon. We study how the spacetime volume behind the cosmological horizon in Schwarzschild-dS space reacts to the insertion of shockwaves in an attempt to characterize the properties of this dual theory. We demonstrate that a switchback effect can be observed in dS space. That is, the growth of complexity is delayed in reaction to a perturbation. This delay is longer for earlier shocks and depends on a scrambling time which is logarithmic in the strength of the shockwave and proportional to the inverse temperature of the cosmological dS horizon. This behavior is very similar to what happens for AdS black holes, albeit the geometric origin of the effect is somewhat different. |
| first_indexed | 2024-03-11T15:18:27Z |
| format | Article |
| id | doaj.art-ae271902b66449689e45171e64392e54 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:18:27Z |
| publishDate | 2023-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ae271902b66449689e45171e64392e542023-10-29T12:07:13ZengSpringerOpenJournal of High Energy Physics1029-84792023-07-012023717610.1007/JHEP07(2023)162The cosmological switchback effectStefano Baiguera0Rotem Berman1Shira Chapman2Robert C. Myers3Department of Physics, Ben-Gurion University of the NegevDepartment of Physics, Ben-Gurion University of the NegevDepartment of Physics, Ben-Gurion University of the NegevPerimeter Institute for Theoretical PhysicsAbstract The volume behind the black hole horizon was suggested as a holographic dual for the quantum computational complexity of the boundary state in AdS/CFT. This identification is strongly motivated by the switchback effect: a characteristic delay of complexity growth in reaction to an inserted perturbation, modelled as a shockwave in the bulk. Recent proposals of de Sitter (dS) holography suggest that a dual theory could be living on a stretched horizon near the cosmological horizon. We study how the spacetime volume behind the cosmological horizon in Schwarzschild-dS space reacts to the insertion of shockwaves in an attempt to characterize the properties of this dual theory. We demonstrate that a switchback effect can be observed in dS space. That is, the growth of complexity is delayed in reaction to a perturbation. This delay is longer for earlier shocks and depends on a scrambling time which is logarithmic in the strength of the shockwave and proportional to the inverse temperature of the cosmological dS horizon. This behavior is very similar to what happens for AdS black holes, albeit the geometric origin of the effect is somewhat different.https://doi.org/10.1007/JHEP07(2023)162Black Holesde Sitter spaceGauge-Gravity CorrespondenceModels of Quantum Gravity |
| spellingShingle | Stefano Baiguera Rotem Berman Shira Chapman Robert C. Myers The cosmological switchback effect Journal of High Energy Physics Black Holes de Sitter space Gauge-Gravity Correspondence Models of Quantum Gravity |
| title | The cosmological switchback effect |
| title_full | The cosmological switchback effect |
| title_fullStr | The cosmological switchback effect |
| title_full_unstemmed | The cosmological switchback effect |
| title_short | The cosmological switchback effect |
| title_sort | cosmological switchback effect |
| topic | Black Holes de Sitter space Gauge-Gravity Correspondence Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP07(2023)162 |
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