交错磁场特殊虚值下 XX 自旋链的 R 矩阵

arXiv - PHYS - Exactly Solvable and Integrable Systems Pub Date : 2024-07-15 DOI:arxiv-2407.10395

P. N. Bibikov

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引用次数: 0

摘要

研究指出，与交错磁场中的 XX 自旋链相对应的 $16times16$ 哈密顿密度矩阵与两个更高的哈密顿密度矩阵一样，也满足雷谢提金条件。所有这些都是相应 $R$ 矩阵存在的必要条件。在交错磁场的特殊虚值下，R$R 矩阵被明确得到。

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R-matrix for the XX spin chain at the special imaginary value of staggered magnetic field

It is pointed, that the $16\times16$ Hamiltonian density matrix, corresponding to XX spin chain in a staggered magnetic field, satisfies the Reshetikhin condition as well, as the two higher ones. All of them are necessary for the existence of the corresponding $R$-matrix. At the special imaginary value of the staggered field, the $R$-matrix is obtained explicitly. It is shown that the corresponding Hamiltonian has purely imaginary spectrum.

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arXiv - PHYS - Exactly Solvable and Integrable Systems

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