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    Nonreciprocal and Long-Range Three-Body Interactions in Bose-Einstein Condensates Induced by Optical Feedback

    Yi-Qing Zhang1,*, Liang-Jun He1,*, Han Pu2,†, Zheng-Wei Zhou3,4,5,6,‡, and Yong-Chang Zhang1,§

    • *These authors contributed equally to this work.
    • †Contact author: hpu@rice.edu
    • ‡Contact author: zwzhou@ustc.edu.cn
    • §Contact author: zhangyc@xjtu.edu.cn

    Phys. Rev. Lett. 137, 053201 – Published 29 July, 2026

    DOI: https://doi.org/10.1103/bt6x-bjq9

    Abstract

    We propose generating atom-atom three-body interactions in quantum gases by placing a quasi-two-dimensional Bose-Einstein condensate in front of two reflecting mirrors and illuminating it with dichromatic laser beams. These pumping fields traverse the condensate twice, thereby inducing a feedback effect on the atoms. We demonstrate that this optical feedback gives rise to an effective three-body interaction with unique long-range and nonreciprocal properties. Because of its long-range nature, this three-body interaction can give rise to various stable stationary droplet cluster states, as well as a distinct ring state that emerges through a purely self-organizing process. Furthermore, we show that the nonreciprocal nature of this interaction can lead to remarkable self-acceleration of the condensate. Additionally, our scheme offers a highly controllable setting, where pairwise two-body interactions can be tuned to vanish. This flexibility provides a promising route for exploring exotic physics associated with multibody interactions.

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