Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912522644226048 |
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| author | Bernard, Pierre-Antoine Nepomechie, Rafael I. Parez, Gilles Ragoucy, Eric Raveh, David Vinet, Luc |
| author_facet | Bernard, Pierre-Antoine Nepomechie, Rafael I. Parez, Gilles Ragoucy, Eric Raveh, David Vinet, Luc |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_15610 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials Bernard, Pierre-Antoine Nepomechie, Rafael I. Parez, Gilles Ragoucy, Eric Raveh, David Vinet, Luc Statistical Mechanics High Energy Physics - Theory Mathematical Physics Quantum Physics 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. |
| title | Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials |
| topic | Statistical Mechanics High Energy Physics - Theory Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2505.15610 |