发表机构
Institute of Theoretical Physics, University of Science and Technology Beijing（北京科技大学理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究不同谱结构阱中自旋-3/2费米气体的动力学，发现幂律衰减普适存在，指数α对系统参数不敏感但随谱结构变化，揭示单粒子谱对衰减动力学的重要影响。
AI 中文摘要
在谐波阱中捕获的自旋-$3/2$费米气体中，观察到自旋混合振荡的普适幂律衰减，其精确等间距谱代表了一种高度特殊的情况。为了深入了解这种行为的起源，我们研究了具有递增和递减能级间距的阱中的动力学，分别由无限深方势阱和Pöschl-Teller势表示。尽管它们的单粒子谱存在显著差异，所有系统都表现出相干振荡的幂律衰减，由$A(t) = A_{0} - \gamma t^{\alpha}$描述。指数$\alpha$对粒子数、相互作用强度和整体能量尺度不敏感，但在具有不同谱结构的阱之间表现出系统性差异。相反，衰减参数$\gamma$受到谱结构和整体能量尺度的强烈影响。这些发现表明，幂律衰减不仅限于谐波阱，而且在性质上不同的谱结构中持续存在。在不同阱中观察到的$\alpha$变化进一步表明，潜在的单粒子谱在塑造衰减动力学中起着重要作用。
英文摘要
Universal power-law decay of spin-mixing oscillations has been observed in a harmonically trapped spin-$3/2$ Fermi gas, whose exactly equally spaced spectrum represents a highly special case. To gain insight into the origin of this behavior, we investigate the dynamics in traps with increasing and decreasing level spacings, represented by the infinite square well and the Pöschl--Teller potential, respectively. Despite pronounced differences in their single-particle spectra, all systems exhibit power-law decay of coherent oscillations, described by $A(t) = A_{0} - γt^α$. The exponent $α$ remains insensitive to particle number, interaction strength, and the overall energy scale, but exhibits systematic differences among traps with distinct spectral structures. In contrast, the decay parameter $γ$ is strongly influenced by both the spectral structure and the overall energy scale. These findings demonstrate that power-law decay is not restricted to the harmonic trap but persists across qualitatively distinct spectral structures. The observed variation of $α$ among different traps further suggests that the underlying single-particle spectrum plays an important role in shaping the decay dynamics.
Comments13 pages, 7 figures
