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    Scattering problem in Bose-Einstein condensates with magnetic domain walls

    Mei Zhao1,*, Lijia Jiang2,3,4,5,*, Tao Yang1,3,4,5,†, and Jun-Hui Zheng1,3,4,5,‡

    • *These authors contributed equally to this work.
    • †Contact author: yangt@nwu.edu.cn
    • ‡Contact author: junhui.zheng@nwu.edu.cn

    Phys. Rev. A 113, 043313 – Published 10 April, 2026

    DOI: https://doi.org/10.1103/5lsf-kktm

    Abstract

    We present a comprehensive theoretical study of linear wave scattering from magnetic domain walls with varied twist angles Θ in spin-1/2 Bose-Einstein condensates (BECs). Using a gauge transformation, we show that scattering observables depend solely on the total twist Θ, independent of chirality. Within the Bogoliubov–de Gennes (BdG) framework, we develop a transfer-matrix method to compute reflection and transmission coefficients for incident phonons and free particles. Our results reveal a scattering threshold at the Zeeman energy E=ℏΩ0, separating a pure phonon regime from multichannel scattering involving both collective and single-particle excitations above threshold. Above a critical twist angle Θc, the effective spin rotation deviates from the imposed twist angle, leading to comb-like density modulations and Fano-like resonances below the threshold ℏΩ0. The transition probability between phonon and particle channels is strongly tunable with Θ<Θc, enhanced for odd multiples of π but suppressed for even multiples. These findings establish twist-engineered domain walls as a versatile platform for controlling quantum transport, with implications for atomtronic devices and quantum simulation.

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