Exactly solvable inhomogeneous <i>XY</i> spin chain
Abstract 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.
Authors
- Lucía Morey
- Nicolas Crampé (ORCID: https://orcid.org/0000-0002-3754-4074)
- Pierre-Antoine Bernard (ORCID: https://orcid.org/0000-0002-6166-8528)
- Luc Vinet (ORCID: https://orcid.org/0000-0001-6211-7907)
- Quentin Labriet
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université du Québec à Montréal (CA)
- Montreal Clinical Research Institute (CA)
- Université de Montréal (CA)
Publication Details
- Journal
- Journal of Statistical Mechanics Theory and Experiment
- Published
- 2025-10-01
- DOI
- https://doi.org/10.1088/1742-5468/ae0429
- Citations
- 1
- Primary Topic
- Quantum many-body systems
- Type
- article
- Field-Weighted Citation Impact
- 1.25
Funders
- Centre National de la Recherche Scientifique
- Natural Sciences and Engineering Research Council of Canada