一维极性自旋子液滴
One-dimensional Polar Spinor Droplets
AI总结：
本文推导了通道分辨的Lee-Huang-Yang修正，构建了一维极性自旋1量子液滴的扩展Gross-Pitaevskii模型，证实其稳定性，揭示了密度与自旋涨落对液滴平衡结构和非平衡响应的影响。
AI中文摘要：
我们推导了通道分辨的Lee-Huang-Yang修正，并为一维自旋1极性量子液滴构建了扩展的Gross-Pitaevskii模型。涨落贡献分离为密度通道和自旋通道，即使自旋无关的平均场相互作用为排斥性时，该模型也支持自束缚液滴。定态解表现出从类孤子到平顶液滴的连续交叉，且随着粒子数增加，化学势和峰值密度趋于饱和。在本文考察的参数范围内，线性Bogoliubov分析结合弱扰动动力学支持两种液滴类型的稳定性。二次塞曼猝灭揭示了呼吸动力学中的有限尺寸交叉，以及密度和自旋涨落通道截然不同的非平衡作用。代表性对头碰撞进一步表明，有限尺寸交叉会调制相敏非线性散射，同相碰撞产生类似合并的中心滞留，而异相碰撞则有利于类弹性分离。该分析阐明了密度和自旋涨落如何塑造低维极性自旋子液滴的平衡结构与非平衡响应。
英文摘要：
We derive a channel-resolved Lee-Huang-Yang correction and construct an extended GrossPitaevskii model for one-dimensional polar spin-1 quantum droplets. The fluctuation contribution separates into density and spin channels, which supports self-bound droplets even when the spinindependent mean-field interaction is repulsive. Stationary solutions exhibit a continuous crossover from soliton-like to flat-top droplets, accompanied by saturation of the chemical potential and peak density as the particle number increases. Within the parameter range examined here, linear Bogoliubov analysis together with weak-perturbation dynamics supports the stability of both droplet types. A quadratic-Zeeman quench reveals a finite-size crossover in breathing dynamics and distinct nonequilibrium roles of the density and spin fluctuation channels. Representative head-on collisions further show that the finite-size crossover modulates phase-sensitive nonlinear scattering, with in-phase impact producing coalescence-like central retention and out-of-phase impact favoring quasi-elastic separation. The analysis clarifies how density and spin fluctuations shape equilibrium structure and nonequilibrium response in low-dimensional polar spinor droplets.
