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    Asymmetric Floquet sidebands with long-lived symmetric coherence under spin-1 Bose-Einstein-condensate continuous dynamical decoupling

    Fangde Liu1,*, Mingqing Yuan1,*, Xinjiang Yao1, Yunda Li1, Feifan Zhao1, Jiahao Wang1, Zhuxiong Ye1, Liangchao Chen1,2, Lianghui Huang1,2 et al.

    Pengjun Wang1,2, Wei Han1,2,3,†, Jing Zhang1,2,‡, and Zengming Meng1,2,§

    • 1State Key Laboratory of Quantum Optics Technologies and Devices, Institute of Opto-Electronics, Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, Shanxi 030006, People's Republic of China
    • 2Hefei National Laboratory, Hefei, Anhui 230088, People's Republic of China
    • 3Liaoning Academy of Materials, Shenyang 110167, People's Republic of China

    • *These authors contributed equally to this work.
    • †Contact author: hanwei.irain@gmail.com
    • ‡Contact author: jzhang74@sxu.edu.cn
    • §Contact author: zmmeng01@sxu.edu.cn

    Phys. Rev. A 114, 023307 – Published 5 August, 2026

    DOI: https://doi.org/10.1103/rbfn-72vl

    Abstract

    Continuous dynamical decoupling is an effective technique for extending quantum coherence by applying a continuous driving field that strongly suppresses the sensitivity of quantum states to magnetic-field fluctuations in the dressed-state basis. We experimentally measure the dressed-state spectrum of a spin-1 Bose-Einstein condensate under continuous rf driving and investigate the properties of the resulting sidebands from a Floquet-theory perspective. It is found that under resonant rf driving, two of the three dressed states exhibit markedly enhanced coherence times, and both the coherence time and the coherence coupling strength are symmetric for the two conjugate Floquet sidebands. In contrast, under off-resonant rf driving, although the coherence times are symmetrically reduced for the two conjugate Floquet sidebands, the coherence coupling strength exhibits a completely asymmetric behavior. Our study demonstrates the feasibility of implementing continuous dynamical decoupling for coherent quantum control in ultracold atomic systems and provides both experimental and theoretical foundations for dressed-state-based quantum control and precision measurement.

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