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    Fragmented quantum phases in the antiblockade regime of a Rydberg atom array

    Han-Chao Chen1,2,*, Zheng-Yuan Zhang1,2,*, Meng Zhou3, Xin Liu1,2, Li-Hua Zhang1,2, Bang Liu1,2, Lu-Xia Wang3, Dong-Sheng Ding1,2,†, and Bao-Sen Shi1,2

    • *These authors contributed equally to this work.
    • †Contact author: dds@ustc.edu.cn

    Phys. Rev. B 113, 014317 – Published 27 January, 2026

    DOI: https://doi.org/10.1103/bnr2-77yc

    Abstract

    Hilbert space fragmentation induced by dynamical constraints has emerged as a novel mechanism underlying nonergodic behavior in quantum many-body systems. Focusing on this phenomenon, we report a parameter-dependent Hilbert space fragmentation of the one-dimensional Rydberg atom array in the antiblockade regime. We explicitly identify and classify a set of distinct nonequilibrium dynamical phases in the parameter space and analyze their dynamical characteristics. We point out that their quasiperiodic behavior is jointly governed by multipath excitation interference and multiphoton cascaded excitation structures, further revealing fundamental differences in the state connectivity structure and effective dimensionality of the corresponding subspaces. By constructing a complete fragmented quantum phase diagram, we clearly delineate the transition of the Hilbert space from global thermalization to fragmented behavior. Furthermore, we demonstrate the process of secondary fragmentation that enables additional control over the accessible subspaces through local constraints. This work demonstrates the potential of realizing highly programmable nonthermal dynamics through antiblockade mechanisms, providing a theoretical foundation for the exploration and control of exotic nonequilibrium quantum phases in many-body systems.

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