Dynamical Signatures of Selective Gap Closing in Multi-Dimensional Monotone Quasiperiodic Operators

Abstract:We translate the spectral gap-closing criterion for multi-dimensional monotone quasiperiodic Schrödinger operators into a concrete dynamical protocol and verify it by large-scale numerics. For a non-principal label we construct a sampling function whose leading eigenfunction weight at the origin vanishes; a local bump then drives the residual weight through zero. The height of a weighted oscillatory time average of the origin-to-localization-center correlator exhibits a deep minimum precisely at the closing, while the site-control label remains featureless and orders of magnitude larger. The signature is robust and maps directly onto superconducting-circuit and photonic platforms.

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

arXiv:2611.05686 [math-ph]

(or arXiv:2611.05686v1 [math-ph] for this version)

https://doi.org/10.48550/arXiv.2611.05686 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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