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    Characterizing superfluid fraction and topological property of supersolids via nonequilibrium dynamics

    Biao Dong1, Xiao-Fei Zhang2,*, Lin Zhuang3, Wei Han4, Renyuan Liao5,6, Xue-Ying Yang7, Wu-Ming Liu8,†, and Yong-Chang Zhang1,‡

    • *Contact author: xfzhang@sust.edu.cn
    • †Contact author: wmliu@iphy.ac.cn
    • ‡Contact author: zhangyc@xjtu.edu.cn

    Phys. Rev. A 113, 023320 – Published 23 February, 2026

    DOI: https://doi.org/10.1103/9ggw-l8mh

    Abstract

    Supersolids—exotic quantum states that combine superfluid flow with crystalline order—have recently been realized in quantum degenerate gases, yet a direct quantitative measurement of their superfluid fraction and understanding of their topological properties have remained elusive. In this work we show that the nonequilibrium dynamics of a spin-orbit coupled dipolar Bose-Einstein condensate under PT-symmetric driving and dissipation generates an oscillating current whose frequency exhibits a strong dependence on the superfluid fraction of the underlying supersolid. This dynamical response further reveals topological phase transitions between distinct supersolid phases characterized by their spin textures. Our findings establish a platform for exploring supersolids with topological properties and provide deep insight into their nonequilibrium behavior beyond conventional closed-system scenarios.

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