Twenty dry Martinis for the Unitary Almost Mathieu Operator

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Christopher Cedzich , Long Li This is my paper · ORCID

classification math-phmath.DSmath.MPmath.SPquant-ph

keywords almostmathieuoperatorunitarydiophantinefrequenciesmartinimartinis

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We solve the Dry Ten Martini Problem for the unitary almost Mathieu operator with Diophantine frequencies in the non-critical regime.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models
quant-ph 2025-08 conditional novelty 6.0 of 10

A single-photon quantum-walk experiment realizes the unitary almost-Mathieu operator and observes metal-insulator, parity-time symmetry-breaking, and all-imaginary-quasienergy spectral transitions.