PreprintCC0arXiv
Macroscopic Zero-Mode Manifold Isolated by Quantum Chaos
Abstract
Chaotic many-body spectra are expected to densely fill their energy window. We show that constrained spin chains with chiral symmetry evade this expectation by hosting an exponentially large manifold of symmetry-protected exact zero modes separated from the surrounding spectrum by a sharp gap at zero energy. The gap is generated by chaotic level repulsion, with width set by the number of zero modes times the mean level spacing. We verify this mechanism in an East-West kinetically constrained chain, develop a minimal random-matrix description, and show how the gap can be detected through linear-response spectroscopy.
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BibTeX
@misc{jonay2026macroscopic,
title = {{Macroscopic Zero-Mode Manifold Isolated by Quantum Chaos}},
author = {Cheryne Jonay and Kun W. Kim and Frank Pollmann and Alexander Altland},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.09504},
eprint = {2607.09504},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.09504},
note = {CC0},
}
RIS
TY - UNPB
TI - Macroscopic Zero-Mode Manifold Isolated by Quantum Chaos
AU - Cheryne Jonay
AU - Kun W. Kim
AU - Frank Pollmann
AU - Alexander Altland
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2607.09504
UR - https://arxiv.org/abs/2607.09504
AB - Chaotic many-body spectra are expected to densely fill their energy window. We show that constrained spin chains with chiral symmetry evade this expectation by hosting an exponentially large manifold of symmetry-protected exact zero modes separated from the surrounding spectrum by a sharp gap at zero energy. The gap is generated by chaotic level repulsion, with width set by the number of zero modes times the mean level spacing. We verify this mechanism in an East-West kinetically constrained chain, develop a minimal random-matrix description, and show how the gap can be detected through linear-response spectroscopy.
ER -