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PreprintCC BY 4.0arXiv

Bypass Transition via the Non-Hermitian Skin Effect

  • Konghao Sun
  • Haiping Hu
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Abstract

Non-Hermitian skin lattices can directionally amplify propagating signals. Here we show that this amplification and nonlinear feedback together drive a bypass transition to self-sustained motion, familiar from shear flows. A finite local excitation can trigger sustained periodic or chaotic motion while the resting state remains linearly stable. We develop a return-map theory that predicts the triggering threshold, its scaling with directional gain, and the instability governing near-critical dynamics. The threshold decreases exponentially with chain length. Weak noise triggers sustained motion as well, with a characteristic ignition length that grows logarithmically as noise weakens at fixed observation time. Our work establishes a skin-effect route to bypass transitions, opening a new avenue for predicting and controlling nonlinear wave dynamics.

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Cite

BibTeXRIS
BibTeX
@misc{sun2026bypass,
  title = {{Bypass Transition via the Non-Hermitian Skin Effect}},
  author = {Konghao Sun and Haiping Hu},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.05563},
  eprint = {2611.05563},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.05563},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Bypass Transition via the Non-Hermitian Skin Effect
AU  - Konghao Sun
AU  - Haiping Hu
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.05563
UR  - https://arxiv.org/abs/2611.05563
AB  - Non-Hermitian skin lattices can directionally amplify propagating signals. Here we show that this amplification and nonlinear feedback together drive a bypass transition to self-sustained motion, familiar from shear flows. A finite local excitation can trigger sustained periodic or chaotic motion while the resting state remains linearly stable. We develop a return-map theory that predicts the triggering threshold, its scaling with directional gain, and the instability governing near-critical dynamics. The threshold decreases exponentially with chain length. Weak noise triggers sustained motion as well, with a characteristic ignition length that grows logarithmically as noise weakens at fixed observation time. Our work establishes a skin-effect route to bypass transitions, opening a new avenue for predicting and controlling nonlinear wave dynamics.
ER  -