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This experimental study successfully maps the disordered Su-Schrieffer-Heeger model onto coaxial cable structures, demonstrating robust topological protection against disorder in a macroscopic RF system. The observation of a phase transition characterized by band gap closure and delocalized states provides tangible evidence of non-trivial topology in engineered classical systems that mimic quantum Hamiltonians. While not involving qubits or neural networks directly, this work advances the understanding of topological phases using accessible hardware, bridging condensed matter theory with practical RF engineering.
Sources coveringarXiv, LessWrong, Quantum Zeitgeist
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Observation of a Topological Phase Transition in Random Coaxial Cable Structures with Chiral Symmetry

arXiv1 min read

arXiv:2311.11040v2 Announce Type: replace-cross Abstract: We report an experimental study of the disordered Su-Schrieffer-Heeger (SSH) model, implemented in a system of coaxial cables, whose radio frequency properties map on to the SSH Hamiltonian. By measuring multiple chains with random hopping terms, we demonstrate the presence of a topologically protected state, with frequency variation of less than 0.2% over the ensemble. Connecting the ends of the chains to form loops, we observe a topological phase transition, characterised by the closure of the band gap and the appearance of states which are delocalised, despite the strong disorder.

Abstract:We report an experimental study of the disordered Su-Schrieffer-Heeger (SSH) model, implemented in a system of coaxial cables, whose radio frequency properties map on to the SSH Hamiltonian. By measuring multiple chains with random hopping terms, we demonstrate the presence of a topologically protected state, with frequency variation of less than 0.2% over the ensemble. Connecting the ends of the chains to form loops, we observe a topological phase transition, characterised by the closure of the band gap and the appearance of states which are delocalised, despite the strong disorder.

Disordered Systems and Neural Networks (cond-mat.dis-nn); Quantum Physics (quant-ph)

arXiv:2311.11040 [cond-mat.dis-nn]

(or arXiv:2311.11040v2 [cond-mat.dis-nn] for this version)

https://doi.org/10.48550/arXiv.2311.11040 Focus to learn more arXiv-issued DOI via DataCite

Phys. Rev. B 114, 144203 (2026)

https://doi.org/10.1103/hnqs-xh69 Focus to learn more DOI(s) linking to related resources

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Full text under the publisher's open licence · 204 words

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