Novel approach of exploring ASEP-like models through the Yang Baxter Equation
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916484194762752 |
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| author | Barik, Suvendu Garkun, Alexander. S. Gritsev, Vladimir |
| author_facet | Barik, Suvendu Garkun, Alexander. S. Gritsev, Vladimir |
| contents | We explore the algebraic structure of a particular ansatz of Yang Baxter Equation which is inspired from the Bethe Ansatz treatment of the ASEP spin-model. Various classes of Hamiltonian density arriving from two types of R-Matrices are found which also appear as solutions of constant YBE. We identify the idempotent and nilpotent categories of such constant R-Matrices and perform a rank-1 numerical search for the lowest dimension. A summary of finalised results reveals general non-hermitian spin-1/2 chain models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03159 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Novel approach of exploring ASEP-like models through the Yang Baxter Equation Barik, Suvendu Garkun, Alexander. S. Gritsev, Vladimir Statistical Mechanics Exactly Solvable and Integrable Systems Quantum Physics We explore the algebraic structure of a particular ansatz of Yang Baxter Equation which is inspired from the Bethe Ansatz treatment of the ASEP spin-model. Various classes of Hamiltonian density arriving from two types of R-Matrices are found which also appear as solutions of constant YBE. We identify the idempotent and nilpotent categories of such constant R-Matrices and perform a rank-1 numerical search for the lowest dimension. A summary of finalised results reveals general non-hermitian spin-1/2 chain models. |
| title | Novel approach of exploring ASEP-like models through the Yang Baxter Equation |
| topic | Statistical Mechanics Exactly Solvable and Integrable Systems Quantum Physics |
| url | https://arxiv.org/abs/2403.03159 |