Scattering problem in Bose-Einstein condensates with magnetic domain walls
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 in spin- Bose-Einstein condensates (BECs). Using a gauge transformation, we show that scattering observables depend solely on the total twist , 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 , separating a pure phonon regime from multichannel scattering involving both collective and single-particle excitations above threshold. Above a critical twist angle , the effective spin rotation deviates from the imposed twist angle, leading to comb-like density modulations and Fano-like resonances below the threshold . The transition probability between phonon and particle channels is strongly tunable with , enhanced for odd multiples of 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.