Chaos exponents of SYK traversable wormholes
Abstract In this paper we study the chaos exponent, the exponential growth rate of the out-of-time-ordered four point functions, in a two coupled SYK models which exhibits a first order phase transition between the high temperature black hole phase and the low t...
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2021
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| Online Access: | https://hdl.handle.net/1721.1/132003 |
| _version_ | 1826203171835346944 |
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| author | Nosaka, Tomoki Numasawa, Tokiro |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Nosaka, Tomoki Numasawa, Tokiro |
| author_sort | Nosaka, Tomoki |
| collection | MIT |
| description | Abstract
In this paper we study the chaos exponent, the exponential growth rate of the out-of-time-ordered four point functions, in a two coupled SYK models which exhibits a first order phase transition between the high temperature black hole phase and the low temperature gapped phase interpreted as a traversable wormhole. We see that as the temperature decreases the chaos exponent exhibits a discontinuous fall-off from the value of order the universal bound 2π/β at the critical temperature of the phase transition, which is consistent with the expected relation between black holes and strong chaos. Interestingly, the chaos exponent is small but non-zero even in the wormhole phase. This is surprising but consistent with the observation on the decay rate of the two point function [1], and we found the chaos exponent and the decay rate indeed obey the same temperature dependence in this regime. We also studied the chaos exponent of a closely related model with single SYK term, and found that the chaos exponent of this model is always greater than that of the two coupled model in the entire parameter space. |
| first_indexed | 2024-09-23T12:32:30Z |
| format | Article |
| id | mit-1721.1/132003 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:32:30Z |
| publishDate | 2021 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1320032023-12-22T19:29:21Z Chaos exponents of SYK traversable wormholes Nosaka, Tomoki Numasawa, Tokiro Massachusetts Institute of Technology. Center for Theoretical Physics Abstract In this paper we study the chaos exponent, the exponential growth rate of the out-of-time-ordered four point functions, in a two coupled SYK models which exhibits a first order phase transition between the high temperature black hole phase and the low temperature gapped phase interpreted as a traversable wormhole. We see that as the temperature decreases the chaos exponent exhibits a discontinuous fall-off from the value of order the universal bound 2π/β at the critical temperature of the phase transition, which is consistent with the expected relation between black holes and strong chaos. Interestingly, the chaos exponent is small but non-zero even in the wormhole phase. This is surprising but consistent with the observation on the decay rate of the two point function [1], and we found the chaos exponent and the decay rate indeed obey the same temperature dependence in this regime. We also studied the chaos exponent of a closely related model with single SYK term, and found that the chaos exponent of this model is always greater than that of the two coupled model in the entire parameter space. 2021-09-20T17:41:22Z 2021-09-20T17:41:22Z 2021-02-17 2021-02-21T04:53:52Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/132003 Journal of High Energy Physics. 2021 Feb 17;2021(2):150 PUBLISHER_CC en https://doi.org/10.1007/JHEP02(2021)150 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Nosaka, Tomoki Numasawa, Tokiro Chaos exponents of SYK traversable wormholes |
| title | Chaos exponents of SYK traversable wormholes |
| title_full | Chaos exponents of SYK traversable wormholes |
| title_fullStr | Chaos exponents of SYK traversable wormholes |
| title_full_unstemmed | Chaos exponents of SYK traversable wormholes |
| title_short | Chaos exponents of SYK traversable wormholes |
| title_sort | chaos exponents of syk traversable wormholes |
| url | https://hdl.handle.net/1721.1/132003 |
| work_keys_str_mv | AT nosakatomoki chaosexponentsofsyktraversablewormholes AT numasawatokiro chaosexponentsofsyktraversablewormholes |