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Experimental realization of the complete seven-phase Anderson-localization landscape
arXiv
Authors: Yao Qin, Chao Yang, Yuzhe Zhang, Yucheng Wang, Jingyun Fan
Year
2026
Paper ID
69155
Status
Preprint
Abstract Read
~2 min
Abstract Words
159
Citations
N/A
Abstract
Anderson localization has evolved far beyond the conventional dichotomy between extended and localized states. Modern localization theory predicts a complete transport hierarchy comprising extended, critical, and localized phases together with all coexistence phases among them, forming a seven-phase Anderson-localization landscape. Despite its fundamental importance, this hierarchy has never been experimentally realized within a single system. Here we realize the complete seven-phase Anderson-localization landscape in a one-dimensional Floquet photonic lattice. By engineering quasiperiodic hopping profiles containing inhomogeneously distributed hopping zeros, we generate critical states and enable their coexistence with extended and localized sectors. The resulting transport regimes are directly resolved through their distinct spatiotemporal dynamics, including ballistic expansion, confined critical oscillations, and persistent localization. We observe all seven phases, including the elusive triply coexisting extended-critical-localized phase, and experimentally track the phase transitions connecting them. Our results establish the first complete experimental map of the Anderson-localization landscape and provide a unified platform for investigating mobility edges, multifractality, and programmable coherent transport.
Why This Paper Matters
- It adds a 2026 reference point for readers tracking recent quantum research.
- Anderson localization has evolved far beyond the conventional dichotomy between extended and localized states.
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