Bipartite Sachdev-Ye models with Read-Saleur symmetries
We introduce an SU(𝑀)-symmetric disordered bipartite spin model with unusual characteristics. Although superficially similar to the Sachdev-Ye (SY) model, it has several markedly different properties for 𝑀≥3. In particular, it has a large nontrivial nullspace whose dimension grows exponentially wit...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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American Physical Society
2024
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| _version_ | 1817930778701463552 |
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| author | Classen-Howes, J Fendley, P Pandey, A Parameswaran, SA |
| author_facet | Classen-Howes, J Fendley, P Pandey, A Parameswaran, SA |
| author_sort | Classen-Howes, J |
| collection | OXFORD |
| description | We introduce an SU(𝑀)-symmetric disordered bipartite spin model with unusual characteristics. Although superficially similar to the Sachdev-Ye (SY) model, it has several markedly different properties for 𝑀≥3. In particular, it has a large nontrivial nullspace whose dimension grows exponentially with system size. The states in this nullspace are frustration-free and are ground states when the interactions are ferromagnetic. The exponential growth of the nullspace leads to Hilbert-space fragmentation and a violation of the eigenstate thermalization hypothesis. We demonstrate that the commutant algebra responsible for this fragmentation is a nontrivial subalgebra of the Read-Saleur commutant algebra of certain nearest-neighbor models such as the spin-1 biquadratic spin chain. We also discuss the low-energy behavior of correlations for the disordered version of this model in the limit of a large number of spins and large 𝑀, using techniques similar to those applied to the SY model. We conclude by generalizing the Shiraishi-Mori embedding formalism to nonlocal models, and apply it to turn some of our nullspace states into quantum many-body scars. |
| first_indexed | 2024-09-25T04:34:50Z |
| format | Journal article |
| id | oxford-uuid:49c2b9bb-8898-4e04-8d23-6a473e67908c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-12-09T03:11:32Z |
| publishDate | 2024 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:49c2b9bb-8898-4e04-8d23-6a473e67908c2024-10-11T08:36:23ZBipartite Sachdev-Ye models with Read-Saleur symmetriesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:49c2b9bb-8898-4e04-8d23-6a473e67908cEnglishSymplectic ElementsAmerican Physical Society2024Classen-Howes, JFendley, PPandey, AParameswaran, SAWe introduce an SU(𝑀)-symmetric disordered bipartite spin model with unusual characteristics. Although superficially similar to the Sachdev-Ye (SY) model, it has several markedly different properties for 𝑀≥3. In particular, it has a large nontrivial nullspace whose dimension grows exponentially with system size. The states in this nullspace are frustration-free and are ground states when the interactions are ferromagnetic. The exponential growth of the nullspace leads to Hilbert-space fragmentation and a violation of the eigenstate thermalization hypothesis. We demonstrate that the commutant algebra responsible for this fragmentation is a nontrivial subalgebra of the Read-Saleur commutant algebra of certain nearest-neighbor models such as the spin-1 biquadratic spin chain. We also discuss the low-energy behavior of correlations for the disordered version of this model in the limit of a large number of spins and large 𝑀, using techniques similar to those applied to the SY model. We conclude by generalizing the Shiraishi-Mori embedding formalism to nonlocal models, and apply it to turn some of our nullspace states into quantum many-body scars. |
| spellingShingle | Classen-Howes, J Fendley, P Pandey, A Parameswaran, SA Bipartite Sachdev-Ye models with Read-Saleur symmetries |
| title | Bipartite Sachdev-Ye models with Read-Saleur symmetries |
| title_full | Bipartite Sachdev-Ye models with Read-Saleur symmetries |
| title_fullStr | Bipartite Sachdev-Ye models with Read-Saleur symmetries |
| title_full_unstemmed | Bipartite Sachdev-Ye models with Read-Saleur symmetries |
| title_short | Bipartite Sachdev-Ye models with Read-Saleur symmetries |
| title_sort | bipartite sachdev ye models with read saleur symmetries |
| work_keys_str_mv | AT classenhowesj bipartitesachdevyemodelswithreadsaleursymmetries AT fendleyp bipartitesachdevyemodelswithreadsaleursymmetries AT pandeya bipartitesachdevyemodelswithreadsaleursymmetries AT parameswaransa bipartitesachdevyemodelswithreadsaleursymmetries |