Cooperative Boundary Switching of Mesoscopic Real Spectra in a Non-Hermitian Chain Family
Abstract
At fixed bulk criticality, every fixed nonsingular real single-end potential preserves a growing local population of real eigenvalues in an open analytic family of non-Hermitian chains. An open region of two-end real potentials removes this population. A boundary-amplitude criterion fixes the minimum number of controlled ends. The population grows as √N, where N is chain length, although its normalized spectral weight vanishes and the local limiting bands remain unchanged. For a representative chain's four zero-detuning settings, an independent passive Hermitian double chain converts this distinction into separated resonances at one fixed local port under a common coupling scan at fixed probe carrier. Its absolute reflection contrast and stability margin both scale as N−1, with explicit sufficient resource budgets. Boundary amplitudes thus fix a minimum control requirement that limiting bands and thermodynamic spectral density do not specify.
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BibTeX
@misc{li2026cooperative,
title = {{Cooperative Boundary Switching of Mesoscopic Real Spectra in a Non-Hermitian Chain Family}},
author = {Chengxi Li and Hao Zhu and Tie-Fu Zhang and Wanzi Sun},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.19061},
eprint = {2610.19061},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.19061},
}
RIS
TY - UNPB
TI - Cooperative Boundary Switching of Mesoscopic Real Spectra in a Non-Hermitian Chain Family
AU - Chengxi Li
AU - Hao Zhu
AU - Tie-Fu Zhang
AU - Wanzi Sun
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.19061
UR - https://arxiv.org/abs/2610.19061
AB - At fixed bulk criticality, every fixed nonsingular real single-end potential preserves a growing local population of real eigenvalues in an open analytic family of non-Hermitian chains. An open region of two-end real potentials removes this population. A boundary-amplitude criterion fixes the minimum number of controlled ends. The population grows as √N, where N is chain length, although its normalized spectral weight vanishes and the local limiting bands remain unchanged. For a representative chain's four zero-detuning settings, an independent passive Hermitian double chain converts this distinction into separated resonances at one fixed local port under a common coupling scan at fixed probe carrier. Its absolute reflection contrast and stability margin both scale as N^−1, with explicit sufficient resource budgets. Boundary amplitudes thus fix a minimum control requirement that limiting bands and thermodynamic spectral density do not specify.
ER -