Suvendu Barik, Alexander S Garkun, Vladimir Gritsev
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引用次数: 0
摘要
我们探索了杨-巴克斯特方程(Yang-Baxter equation,YBE)的一种特殊解析的代数结构,这种解析受到非对称简单排除过程自旋模型的贝特解析处理的启发。我们发现了从两类 R 矩得出的各类哈密顿密度,它们也作为恒定 YBE 的解出现。我们确定了这类恒定 R 矩的幂等和零等类别,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赫米提自旋-1/2 链模型。
Novel ASEP-inspired solutions of the Yang-Baxter equation
We explore the algebraic structure of a particular ansatz of the Yang-Baxter equation (YBE), which is inspired by the Bethe Ansatz treatment of the asymmetric simple exclusion process spin-model. Various classes of Hamiltonian density arriving from the two types of R-matrices are found, which also appear as solutions of the 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 the final results reveals general non-Hermitian spin-1/2 chain models.
期刊介绍:
Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.