Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials
arXiv:2505.15610 · doi:10.1088/1751-8121/adf0b6
Abstract
In this paper, we investigate the ground-state entanglement entropy in inhomogeneous free-boson models in one spatial dimension. We develop a powerful method to extract the leading term in the entanglement scaling, based on the analytic properties of the inhomogeneous potential. This method is applicable to a broad class of models with smooth spatial inhomogeneities. As a case study, we apply this approach for a family of exactly-solvable models characterized by orthogonal polynomials of the Askey scheme, finding a perfect match between the numerical and analytical results.
arXiv comment14 pages, 7 figures. v2: minor modifications to match the published version
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