Commuting SYK: a pseudo-holographic model
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 exactl...
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2024
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| Online Access: | https://hdl.handle.net/1721.1/153426 |
| _version_ | 1826205058404974592 |
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| author | Gao, Ping |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Gao, Ping |
| author_sort | Gao, Ping |
| collection | MIT |
| description | 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 | 2024-09-23T13:06:06Z |
| format | Article |
| id | mit-1721.1/153426 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:06:06Z |
| publishDate | 2024 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1534262024-07-11T20:07:56Z Commuting SYK: a pseudo-holographic model Gao, Ping Massachusetts Institute of Technology. Center for Theoretical Physics 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. 2024-01-30T20:07:07Z 2024-01-30T20:07:07Z 2024-01-24 2024-01-28T04:22:22Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/153426 Journal of High Energy Physics. 2024 Jan 24;2024(1):149 PUBLISHER_CC en https://doi.org/10.1007/JHEP01(2024)149 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Gao, Ping Commuting SYK: a pseudo-holographic model |
| 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 |
| url | https://hdl.handle.net/1721.1/153426 |
| work_keys_str_mv | AT gaoping commutingsykapseudoholographicmodel |