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    Observation of Five Distinct Localization Phases in a 1D Floquet System

    Yao Qin1,2,*, Chao Yang1,2,*, Jiankun Zhu2,†, Weitao Wu2, Zhixin Duan2, Rufang Zhao1,2, Yuxiang Guo1,2, Jizhou Wu1, Sheng-Jun Yang2 et al.

    Yucheng Wang2,‡ and Jingyun Fan1,2,3,4,§

    • *These authors contributed equally to this work.
    • †Contact author: jiankunzhu@foxmail.com
    • ‡Contact author: wangyc3@sustech.edu.cn
    • §Contact author: fanjy@sustech.edu.cn

    Phys. Rev. Lett. 136, 230401 – Published 8 June, 2026

    DOI: https://doi.org/10.1103/6msd-mdw4

    Abstract

    Extended, localized, and critical states form the three elementary classes of eigenstates underlying Anderson localization. While phases involving extended and localized states are widely studied, experimental realization of critical phases, particularly those where critical states coexist with others, remains a challenge. Here, we report to realize five distinct localization phases: extended, localized, critical, extended-localized mixed, and critical-localized mixed, in a one-dimensional Floquet lattice with quasiperiodic hopping amplitudes and on-site potentials. These phases are identified through characteristic spatiotemporal dynamics, supported by mutually consistent experimental observations and theoretical analysis. Our findings establish a unified experimental framework for systematic studies of localization transitions, mobility edges, and criticality in driven quasiperiodic systems.

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