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

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