通过杨-巴克斯特方程探索类似 ASEP 模型的新方法

arXiv - PHYS - Exactly Solvable and Integrable Systems Pub Date : 2024-03-05 DOI:arxiv-2403.03159

Suvendu Barik, Alexander. S. Garkun, Vladimir Gritsev

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引用次数: 0

摘要

我们探讨了杨-巴克斯特方程（Yang BaxterEquation）的一种特殊解析的代数结构，这种解析的灵感来自于对 ASEPspin 模型的 Bethe Ansatz 处理。我们发现了从两类 R 矩阵中得到的各类哈密顿密度，这些哈密顿密度也作为恒定杨百翰方程的解出现。我们确定了这类恒定 R 矩的等价和零等价类别，并对最低维度进行了秩-1 数值搜索。对最终结果的总结揭示了一般的非全息自旋-1/2 链模型。

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Novel approach of exploring ASEP-like models through the Yang Baxter Equation

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.

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arXiv - PHYS - Exactly Solvable and Integrable Systems

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