Noise-Induced Resurrection of Dynamical Skin Effects in Quasiperiodic Non-Hermitian Systems
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| Format: | Preprint |
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2026
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| _version_ | 1866915934723112960 |
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| author | Yang, Wuping Huang, H. |
| author_facet | Yang, Wuping Huang, H. |
| contents | The non-Hermitian skin effect (NHSE) refers to the accumulation of an extensive number of eigenstates at system boundaries under open boundary conditions (OBCs). As a dynamical consequence, wave packets in such systems drift and ultimately accumulate at a boundary, giving rise to the dynamical skin effect (DSE). While strong quasiperiodic potentials are known to suppress the DSE by inducing localization, we show that the introduction of Ornstein-Uhlenbeck (OU) noise unexpectedly restores it. Using perturbative analysis, we demonstrate that noise effectively maps the non-Hermitian Schrödinger dynamics onto a non-reciprocal master equation, whose complex spectrum develops a noise-induced point gap. This mechanism enables delocalization, reinstates directional transport, and revives the DSE even in regimes where the static NHSE is absent. Moreover, the relaxation dynamics exhibit a non-monotonic dependence on noise strength, reflecting a competition between noise-assisted delocalization and noise-induced decoherence. Our results uncover a noise-enabled mechanism for resurrecting the DSE and suggest a new route for controlling transport in quasiperiodic, open quantum systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_11455 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Noise-Induced Resurrection of Dynamical Skin Effects in Quasiperiodic Non-Hermitian Systems Yang, Wuping Huang, H. Quantum Physics Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Statistical Mechanics The non-Hermitian skin effect (NHSE) refers to the accumulation of an extensive number of eigenstates at system boundaries under open boundary conditions (OBCs). As a dynamical consequence, wave packets in such systems drift and ultimately accumulate at a boundary, giving rise to the dynamical skin effect (DSE). While strong quasiperiodic potentials are known to suppress the DSE by inducing localization, we show that the introduction of Ornstein-Uhlenbeck (OU) noise unexpectedly restores it. Using perturbative analysis, we demonstrate that noise effectively maps the non-Hermitian Schrödinger dynamics onto a non-reciprocal master equation, whose complex spectrum develops a noise-induced point gap. This mechanism enables delocalization, reinstates directional transport, and revives the DSE even in regimes where the static NHSE is absent. Moreover, the relaxation dynamics exhibit a non-monotonic dependence on noise strength, reflecting a competition between noise-assisted delocalization and noise-induced decoherence. Our results uncover a noise-enabled mechanism for resurrecting the DSE and suggest a new route for controlling transport in quasiperiodic, open quantum systems. |
| title | Noise-Induced Resurrection of Dynamical Skin Effects in Quasiperiodic Non-Hermitian Systems |
| topic | Quantum Physics Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2604.11455 |