PreprintCC0arXiv
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.
Related
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BibTeX
@misc{parnovski2026dynamical,
title = {{Dynamical Signatures of Selective Gap Closing in Multi-Dimensional Monotone Quasiperiodic Operators}},
author = {Leonid Parnovski and Roman Shterenberg},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05686},
eprint = {2611.05686},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05686},
note = {CC0},
}
RIS
TY - UNPB
TI - Dynamical Signatures of Selective Gap Closing in Multi-Dimensional Monotone Quasiperiodic Operators
AU - Leonid Parnovski
AU - Roman Shterenberg
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.05686
UR - https://arxiv.org/abs/2611.05686
AB - 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.
ER -