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Open Quantum Systems Decoherence Quantum Simulation

Inhomogeneous SSH models and the doubling of orthogonal polynomials

arXiv
Authors: Nicolas Crampé, Quentin Labriet, Lucia Morey, Gilles Parez, Luc Vinet

Year

2025

Paper ID

16926

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

1

Abstract

We analyze Su-Schrieffer-Heeger (SSH) models using the doubling method for orthogonal polynomial sequences. This approach yields the analytical spectrum and exact eigenstates of the models. We demonstrate that the standard SSH model is associated with the doubling of Chebyshev polynomials. Extending this technique to the doubling of other finite sequences enables the construction of Hamiltonians for inhomogeneous SSH models which are exactly solvable. We detail the specific cases associated with Krawtchouk and q-Racah polynomials. This work highlights the utility of polynomial-doubling techniques in obtaining exact solutions for physical models.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2025 reference point for readers tracking recent quantum research.
  • We analyze Su-Schrieffer-Heeger (SSH) models using the doubling method for orthogonal polynomial sequences.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2511.15527 [2] arXiv https://arxiv.org/abs/2511.15527 [3] Publisher https://arxiv.org/abs/2511.15527

Local Citation Graph (Related-Paper Links)

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External citation index: OpenAlex citation signal • updated 2026-06-20 09:33:21

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