论文标题

代数Bethe Ansatz中不均匀的自由费用链中纠缠熵的计算

Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz

论文作者

Bernard, Pierre-Antoine, Carcone, Gauvain, Crampe, Nicolas, Vinet, Luc

论文摘要

考虑了基于Q-Racah多项式的不均匀自由费式链的纠缠熵的计算。截断的相关矩阵的特征值是通过相关的HEUN操作员通过代数Bethe Ansatz获得的。在基于双Q-HAHN多项式的链条的特殊情况下,特征向量和特征值以对对称的多项式在伯特根上的对称多项式表示。

The computation of the entanglement entropy for inhomogeneous free fermions chains based on q-Racah polynomials is considered. The eigenvalues of the truncated correlation matrix are obtained from the diagonalization of the associated Heun operator via the algebraic Bethe ansatz. In the special case of chains based on dual q-Hahn polynomials, the eigenvectors and eigenvalues are expressed in terms of symmetric polynomials evaluated on the Bethe roots.

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