AI 中文总结
该研究求解含Lee-Huang-Yang修正与非局域相互作用项的扩展Gross-Pitaevskii方程，分析有限范围软芯相互作用量子液滴的集体激发谱，揭示旋子不稳定性的产生与演化规律。
AI 中文摘要
我们研究了通过阶跃函数型非局域相互作用（Heaviside step interaction）相互作用的自束缚量子液滴中旋子不稳定性的产生。通过求解包含Lee-Huang-Yang修正项与非局域相互作用项的扩展Gross-Pitaevskii方程，得到了系统的基态性质。集体激发谱显示，随着相互作用强度和作用范围的增加，旋子极小值会形成并逐渐软化。当旋子能量趋近于零时，系统变得不稳定，标志着密度调制的开始。通过静态结构因子进一步表征了旋子行为，该因子在旋子动量处呈现出显著的峰值。
英文摘要
We investigate the emergence of roton instability in self-bound quantum droplets interacting via a finite-range soft-core potential modeled by a Heaviside step interaction. The ground-state properties are obtained by solving the extended Gross-Pitaevskii equation including Lee-Huang-Yang corrections with a nonlocal interaction term. The collective excitation spectrum reveals the formation and progressive softening of a roton minimum as the interaction strength and range increase. When the roton energy approaches zero, the system becomes unstable, signaling the onset of density modulation. The rotonic behavior is further characterized through the static structure factor, which exhibits pronounced peaks at the roton momentum.
Journal refPhysica C: Superconductivity and its applications 649 (2026) 1354932
DOI：10.1016/j.physc.2026.1354932
