Commuting SYK: a pseudo-holographic model
Abstract In this work, we study a type of commuting SYK model in which all terms in the Hamiltonian are commutative to each other. Because of the commutativity, this model has a large number of conserved charges and is integrable. After the ensemble average of random couplings, we can solve this mod...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2024)149 |
| _version_ | 1827265067276566528 |
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| author | Ping Gao |
| author_facet | Ping Gao |
| author_sort | Ping Gao |
| collection | DOAJ |
| description | Abstract In this work, we study a type of commuting SYK model in which all terms in the Hamiltonian are commutative to each other. Because of the commutativity, this model has a large number of conserved charges and is integrable. After the ensemble average of random couplings, we can solve this model exactly in any N. Though this integral model is not holographic, we do find that it has some holography-like features, especially the near-perfect size winding in high temperatures. Therefore, we would like to call it pseudo-holographic. We also find that the size winding of this model has a narrowly peaked size distribution, which is different from the ordinary SYK model. We apply the traversable wormhole teleportation protocol in the commuting SYK model and find that the teleportation has a few features similar to the semiclassical traversable wormhole but in different parameter regimes. We show that the underlying physics is not entirely determined by the size-winding mechanism but involves the peaked-size mechanism and thermalization. Lastly, we comment on the recent simulation of the dynamics of traversable wormholes on Google’s quantum processor. |
| first_indexed | 2024-03-08T10:18:08Z |
| format | Article |
| id | doaj.art-d218de087194452bb82423d93839d21f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2025-03-22T03:56:03Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d218de087194452bb82423d93839d21f2024-04-28T11:06:36ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024114610.1007/JHEP01(2024)149Commuting SYK: a pseudo-holographic modelPing Gao0Center for Theoretical Physics, Massachusetts Institute of TechnologyAbstract In this work, we study a type of commuting SYK model in which all terms in the Hamiltonian are commutative to each other. Because of the commutativity, this model has a large number of conserved charges and is integrable. After the ensemble average of random couplings, we can solve this model exactly in any N. Though this integral model is not holographic, we do find that it has some holography-like features, especially the near-perfect size winding in high temperatures. Therefore, we would like to call it pseudo-holographic. We also find that the size winding of this model has a narrowly peaked size distribution, which is different from the ordinary SYK model. We apply the traversable wormhole teleportation protocol in the commuting SYK model and find that the teleportation has a few features similar to the semiclassical traversable wormhole but in different parameter regimes. We show that the underlying physics is not entirely determined by the size-winding mechanism but involves the peaked-size mechanism and thermalization. Lastly, we comment on the recent simulation of the dynamics of traversable wormholes on Google’s quantum processor.https://doi.org/10.1007/JHEP01(2024)149AdS-CFT CorrespondenceIntegrable Field TheoriesModels of Quantum Gravity |
| spellingShingle | Ping Gao Commuting SYK: a pseudo-holographic model Journal of High Energy Physics AdS-CFT Correspondence Integrable Field Theories Models of Quantum Gravity |
| title | Commuting SYK: a pseudo-holographic model |
| title_full | Commuting SYK: a pseudo-holographic model |
| title_fullStr | Commuting SYK: a pseudo-holographic model |
| title_full_unstemmed | Commuting SYK: a pseudo-holographic model |
| title_short | Commuting SYK: a pseudo-holographic model |
| title_sort | commuting syk a pseudo holographic model |
| topic | AdS-CFT Correspondence Integrable Field Theories Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP01(2024)149 |
| work_keys_str_mv | AT pinggao commutingsykapseudoholographicmodel |