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arXiv · 2505.15610

Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials

Pierre-Antoine Bernard·Rafael I. Nepomechie·Gilles Parez·Eric Ragoucy·David Raveh·Luc Vinet
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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.

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BibTeXRIS

Pierre-Antoine Bernard, Rafael I. Nepomechie, Gilles Parez, Eric Ragoucy, David Raveh, Luc Vinet. 2025-05-21. Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials. https://doi.org/10.1088/1751-8121%2Fadf0b6

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