dorsal/arxiv
View SchemaLocalization Landscape in Non-Hermitian and Floquet quantum systems
| Authors | David Guéry-Odelin, François Impens |
|---|---|
| Categories | |
| ArXiv ID | 2601.10451vv1 |
| URL | https://arxiv.org/abs/2601.10451 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
We propose a generalization of the Filoche--Mayboroda localization landscape that extends the theory well beyond the static, elliptic and Hermitian settings while preserving its geometric interpretability. Using the positive operator $H^\dagger H$, we obtain a landscape that predicts localization across non-Hermitian, Floquet, and topological systems without computing eigenstates. Singular-value collapse reveals spectral instabilities and skin effects, the Sambe formulation captures coherent destruction of tunneling, and topological zero modes emerge directly from the landscape. Applications to Hatano--Nelson chains, driven two-level systems, and driven Aubry--Andr\'e--Harper models confirm quantitative accuracy, establishing a unified predictor for localization in equilibrium and driven quantum matter.
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"abstract": "We propose a generalization of the Filoche--Mayboroda localization landscape that extends the theory well beyond the static, elliptic and Hermitian settings while preserving its geometric interpretability. Using the positive operator $H^\\dagger H$, we obtain a landscape that predicts localization across non-Hermitian, Floquet, and topological systems without computing eigenstates. Singular-value collapse reveals spectral instabilities and skin effects, the Sambe formulation captures coherent destruction of tunneling, and topological zero modes emerge directly from the landscape. Applications to Hatano--Nelson chains, driven two-level systems, and driven Aubry--Andr\\\u0027e--Harper models confirm quantitative accuracy, establishing a unified predictor for localization in equilibrium and driven quantum matter.",
"arxiv_id": "2601.10451",
"authors": [
"David Gu\u00e9ry-Odelin",
"Fran\u00e7ois Impens"
],
"categories": [
"quant-ph",
"cond-mat.other"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Localization Landscape in Non-Hermitian and Floquet quantum systems",
"url": "https://arxiv.org/abs/2601.10451",
"version": "v1"
},
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