Exactly solvable inhomogeneous XY spin chain
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911046602588160 |
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| author | Bernard, Pierre-Antoine Crampé, Nicolas Labriet, Quentin Morey, Lucia Vinet, Luc |
| author_facet | Bernard, Pierre-Antoine Crampé, Nicolas Labriet, Quentin Morey, Lucia Vinet, Luc |
| contents | Analytical expressions for the eigenvalues of certain inhomogeneous XY spin chains are computed. These models are rewritten in terms of free-fermion models using a well-known Jordan-Wigner transformation. Finding the spectrum of such models amounts to diagonalizing a matrix whose size is equal to the number of sites in the chain. This is achieved by recognizing and exploiting contiguity relations satisfied by specific orthogonal polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06331 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exactly solvable inhomogeneous XY spin chain Bernard, Pierre-Antoine Crampé, Nicolas Labriet, Quentin Morey, Lucia Vinet, Luc Mathematical Physics Analytical expressions for the eigenvalues of certain inhomogeneous XY spin chains are computed. These models are rewritten in terms of free-fermion models using a well-known Jordan-Wigner transformation. Finding the spectrum of such models amounts to diagonalizing a matrix whose size is equal to the number of sites in the chain. This is achieved by recognizing and exploiting contiguity relations satisfied by specific orthogonal polynomials. |
| title | Exactly solvable inhomogeneous XY spin chain |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2507.06331 |