Spectral form factor in sparse SYK models
Abstract We investigate the spectral form factor of the sparse Sachdev-Ye-Kitaev model. We use numerical methods to establish that at intermediate times the connected part of the spectral form factor is the dominant one. These connected contributions arise from fluctuations around the disconnected g...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2022)236 |
| _version_ | 1828121731590520832 |
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| author | Elena Cáceres Anderson Misobuchi Amir Raz |
| author_facet | Elena Cáceres Anderson Misobuchi Amir Raz |
| author_sort | Elena Cáceres |
| collection | DOAJ |
| description | Abstract We investigate the spectral form factor of the sparse Sachdev-Ye-Kitaev model. We use numerical methods to establish that at intermediate times the connected part of the spectral form factor is the dominant one. These connected contributions arise from fluctuations around the disconnected geometry, not from a new saddle point. A similar effect was previously conjectured in SYK but required a value of N out of reach of current numerical simulations. |
| first_indexed | 2024-04-11T14:24:48Z |
| format | Article |
| id | doaj.art-b5a18acf8b7b45e19712a3518420c988 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T14:24:48Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b5a18acf8b7b45e19712a3518420c9882022-12-22T04:18:55ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022812210.1007/JHEP08(2022)236Spectral form factor in sparse SYK modelsElena Cáceres0Anderson Misobuchi1Amir Raz2University of Texas, Austin, Physics DepartmentUniversity of Texas, Austin, Physics DepartmentUniversity of Texas, Austin, Physics DepartmentAbstract We investigate the spectral form factor of the sparse Sachdev-Ye-Kitaev model. We use numerical methods to establish that at intermediate times the connected part of the spectral form factor is the dominant one. These connected contributions arise from fluctuations around the disconnected geometry, not from a new saddle point. A similar effect was previously conjectured in SYK but required a value of N out of reach of current numerical simulations.https://doi.org/10.1007/JHEP08(2022)2362D GravityHolography and Condensed Matter Physics (AdS/CMT)Random Systems |
| spellingShingle | Elena Cáceres Anderson Misobuchi Amir Raz Spectral form factor in sparse SYK models Journal of High Energy Physics 2D Gravity Holography and Condensed Matter Physics (AdS/CMT) Random Systems |
| title | Spectral form factor in sparse SYK models |
| title_full | Spectral form factor in sparse SYK models |
| title_fullStr | Spectral form factor in sparse SYK models |
| title_full_unstemmed | Spectral form factor in sparse SYK models |
| title_short | Spectral form factor in sparse SYK models |
| title_sort | spectral form factor in sparse syk models |
| topic | 2D Gravity Holography and Condensed Matter Physics (AdS/CMT) Random Systems |
| url | https://doi.org/10.1007/JHEP08(2022)236 |
| work_keys_str_mv | AT elenacaceres spectralformfactorinsparsesykmodels AT andersonmisobuchi spectralformfactorinsparsesykmodels AT amirraz spectralformfactorinsparsesykmodels |