An effective field theory for non-maximal quantum chaos
Abstract In non-maximally quantum chaotic systems, the exponential behavior of out-of-time-ordered correlators (OTOCs) results from summing over exchanges of an infinite tower of higher “spin” operators. We construct an effective field theory (EFT) to capture these exchanges in (0 + 1) dimensions. T...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)076 |
| _version_ | 1797199787302322176 |
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| author | Ping Gao Hong Liu |
| author_facet | Ping Gao Hong Liu |
| author_sort | Ping Gao |
| collection | DOAJ |
| description | Abstract In non-maximally quantum chaotic systems, the exponential behavior of out-of-time-ordered correlators (OTOCs) results from summing over exchanges of an infinite tower of higher “spin” operators. We construct an effective field theory (EFT) to capture these exchanges in (0 + 1) dimensions. The EFT generalizes the one for maximally chaotic systems, and reduces to it in the limit of maximal chaos. The theory predicts the general structure of OTOCs both at leading order in the 1/N expansion (N is the number of degrees of freedom), and after resuming over an infinite number of higher order 1/N corrections. These general results agree with those previously explicitly obtained in specific models. We also show that the general structure of the EFT can be extracted from the large q SYK model. |
| first_indexed | 2024-03-10T22:23:31Z |
| format | Article |
| id | doaj.art-b9a85672fab440ffaa176b4de50b1460 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:21:18Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b9a85672fab440ffaa176b4de50b14602024-04-21T11:04:33ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231117210.1007/JHEP11(2023)076An effective field theory for non-maximal quantum chaosPing Gao0Hong Liu1Center for Theoretical Physics, Massachusetts Institute of TechnologyCenter for Theoretical Physics, Massachusetts Institute of TechnologyAbstract In non-maximally quantum chaotic systems, the exponential behavior of out-of-time-ordered correlators (OTOCs) results from summing over exchanges of an infinite tower of higher “spin” operators. We construct an effective field theory (EFT) to capture these exchanges in (0 + 1) dimensions. The EFT generalizes the one for maximally chaotic systems, and reduces to it in the limit of maximal chaos. The theory predicts the general structure of OTOCs both at leading order in the 1/N expansion (N is the number of degrees of freedom), and after resuming over an infinite number of higher order 1/N corrections. These general results agree with those previously explicitly obtained in specific models. We also show that the general structure of the EFT can be extracted from the large q SYK model.https://doi.org/10.1007/JHEP11(2023)076Effective Field TheoriesHolography and HydrodynamicsRandom SystemsThermal Field Theory |
| spellingShingle | Ping Gao Hong Liu An effective field theory for non-maximal quantum chaos Journal of High Energy Physics Effective Field Theories Holography and Hydrodynamics Random Systems Thermal Field Theory |
| title | An effective field theory for non-maximal quantum chaos |
| title_full | An effective field theory for non-maximal quantum chaos |
| title_fullStr | An effective field theory for non-maximal quantum chaos |
| title_full_unstemmed | An effective field theory for non-maximal quantum chaos |
| title_short | An effective field theory for non-maximal quantum chaos |
| title_sort | effective field theory for non maximal quantum chaos |
| topic | Effective Field Theories Holography and Hydrodynamics Random Systems Thermal Field Theory |
| url | https://doi.org/10.1007/JHEP11(2023)076 |
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