发表机构
University of Luxembourg; Saarland University（卢森堡大学; 萨尔兰大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究探究量子几何对一维量子自旋链磁子波包运动的影响，以手性孤子晶格为场景，推导磁子波包半经典响应，发现辛量子度量贡献主导近平带波包速度，得到由辛量子度量决定的有界轨迹。
AI 中文摘要
我们研究量子几何对一维量子自旋链中磁子波包运动的影响。与已广泛研究量子度量驱动输运现象的费米子系统不同，我们表明玻色型磁子系统的动力学受辛结构及磁子Bogoliubov-de Gennes哈密顿量变换的伪幺正性强烈影响。手性孤子晶格为辛量子度量强烈影响纵向磁子动力学提供了场景。我们推导该系统中磁子波包对弱缓变微扰的半经典响应，证明波包速度获得与辛量子度量动量导数成正比的几何贡献，该贡献在近平带中主导常规群速度。求解所得运动方程，我们得到实时间内的有界轨迹，其相空间面积由辛量子度量决定。
英文摘要
We investigate the effects of quantum geometry on the motion of magnon wave packets in one-dimensional quantum spin chains. In contrast to fermionic systems, where transport phenomena driven by the quantum metric have been extensively studied, we show that the dynamics in bosonic magnon systems are strongly affected by the symplectic structure and the pseudo-unitarity of the transformation of the magnon Bogoliubov-de Gennes Hamiltonian. A chiral soliton lattice provides a setting in which the symplectic quantum metric strongly influences the longitudinal magnon dynamics. We derive the semiclassical response of a magnon wave packet in such a system to a weak, slowly varying perturbation and demonstrate that the wave packet velocity acquires a geometric contribution proportional to the momentum derivative of the symplectic quantum metric, which dominates over the conventional group velocity for a nearly flat band. Solving the resulting equations of motion, we obtain a bounded trajectory in real time with a phase-space area determined by the symplectic quantum metric.
Comments5 pages, 3 figures, 18 pages supplement
