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Autori principali: Zhao, Mei, Jiang, Lijia, Yang, Tao, Zheng, Jun-Hui
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2512.17580
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author Zhao, Mei
Jiang, Lijia
Yang, Tao
Zheng, Jun-Hui
author_facet Zhao, Mei
Jiang, Lijia
Yang, Tao
Zheng, Jun-Hui
contents 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 $E = \hbarΩ_0$, separating a pure phonon regime from multi-channel scattering involving both collective and single-particle excitations above threshold. For large twist angles, competition between kinetic and Zeeman energies reduces the effective spin rotation, leading to comb-like density modulations and Fano-like resonances below threshold. The transition probability between phonon and particle channels is strongly tunable with $Θ$, 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_17580
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Scattering Problem in Bose-Einstein Condensates with Magnetic Domain Wall
Zhao, Mei
Jiang, Lijia
Yang, Tao
Zheng, Jun-Hui
Quantum Gases
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 $E = \hbarΩ_0$, separating a pure phonon regime from multi-channel scattering involving both collective and single-particle excitations above threshold. For large twist angles, competition between kinetic and Zeeman energies reduces the effective spin rotation, leading to comb-like density modulations and Fano-like resonances below threshold. The transition probability between phonon and particle channels is strongly tunable with $Θ$, 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.
title Scattering Problem in Bose-Einstein Condensates with Magnetic Domain Wall
topic Quantum Gases
url https://arxiv.org/abs/2512.17580