Integrable models on Rydberg atom chains
We initiate a systematic study of integrable models for spin chains with constrained Hilbert spaces; we focus on spin-1/2 chains with the Rydberg constraint. We extend earlier results for medium-range spin chains to the constrained Hilbert space, and formulate an integrability condition. This enable...
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2025-04-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.18.4.139 |
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| author | Luke Corcoran, Marius de Leeuw, Balázs Pozsgay |
| author_facet | Luke Corcoran, Marius de Leeuw, Balázs Pozsgay |
| author_sort | Luke Corcoran, Marius de Leeuw, Balázs Pozsgay |
| collection | DOAJ |
| description | We initiate a systematic study of integrable models for spin chains with constrained Hilbert spaces; we focus on spin-1/2 chains with the Rydberg constraint. We extend earlier results for medium-range spin chains to the constrained Hilbert space, and formulate an integrability condition. This enables us to construct new integrable models with fixed interaction ranges. We classify all time- and space-reflection symmetric integrable Rydberg-constrained Hamiltonians of range 3 and 4. At range 3, we find a single family of integrable Hamiltonians: the so-called RSOS quantum chains, which are related to the well-known RSOS models of Andrews, Baxter, and Forrester. At range 4 we find two families of models, the first of which is the constrained XXZ model. We also find a new family of models depending on a single coupling $z$. We provide evidence of two critical points related to the golden ratio $\phi$, at $z=\phi^{-1/2}$ and $z=\phi^{3/2}$. We also perform a partial classification of integrable Hamiltonians for range 5. |
| format | Article |
| id | doaj-art-00c548e6d1924aa1a89e264b1094d9e0 |
| institution | OA Journals |
| issn | 2542-4653 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj-art-00c548e6d1924aa1a89e264b1094d9e02025-08-20T02:17:20ZengSciPostSciPost Physics2542-46532025-04-0118413910.21468/SciPostPhys.18.4.139Integrable models on Rydberg atom chainsLuke Corcoran, Marius de Leeuw, Balázs PozsgayWe initiate a systematic study of integrable models for spin chains with constrained Hilbert spaces; we focus on spin-1/2 chains with the Rydberg constraint. We extend earlier results for medium-range spin chains to the constrained Hilbert space, and formulate an integrability condition. This enables us to construct new integrable models with fixed interaction ranges. We classify all time- and space-reflection symmetric integrable Rydberg-constrained Hamiltonians of range 3 and 4. At range 3, we find a single family of integrable Hamiltonians: the so-called RSOS quantum chains, which are related to the well-known RSOS models of Andrews, Baxter, and Forrester. At range 4 we find two families of models, the first of which is the constrained XXZ model. We also find a new family of models depending on a single coupling $z$. We provide evidence of two critical points related to the golden ratio $\phi$, at $z=\phi^{-1/2}$ and $z=\phi^{3/2}$. We also perform a partial classification of integrable Hamiltonians for range 5.https://scipost.org/SciPostPhys.18.4.139 |
| spellingShingle | Luke Corcoran, Marius de Leeuw, Balázs Pozsgay Integrable models on Rydberg atom chains SciPost Physics |
| title | Integrable models on Rydberg atom chains |
| title_full | Integrable models on Rydberg atom chains |
| title_fullStr | Integrable models on Rydberg atom chains |
| title_full_unstemmed | Integrable models on Rydberg atom chains |
| title_short | Integrable models on Rydberg atom chains |
| title_sort | integrable models on rydberg atom chains |
| url | https://scipost.org/SciPostPhys.18.4.139 |
| work_keys_str_mv | AT lukecorcoranmariusdeleeuwbalazspozsgay integrablemodelsonrydbergatomchains |