一维光晶格中的多分量任意子
Multicomponent anyons in one-dimensional optical lattices
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中文总结 AI 辅助
本研究通过任意子-哈伯德模型，揭示多分量任意子在1D光晶格中分数统计重塑自旋与电荷关联，并调控偶极振荡及相变。
中文摘要 AI 辅助
我们研究了囚禁在一维（1D）光晶格中的多分量相互作用任意子的基态和动力学性质。采用任意子-哈伯德模型，我们探索了自旋和电荷关联作为相互作用强度和任意子统计参数的函数。我们的结果表明，多分量效应与分数交换统计相结合，显著重塑了电荷和自旋关联。对于分数交换统计，旋量费米子动量分布中具有显著奇异性的典型对称壳层结构经历了显著的结构重构，表现出涌现的不对称性、新的谱峰和展宽的奇异特征。与Tonks-Girardeau玻色子气体不同，作为任意子极限情况的赝玻色子不再显示主导的零动量峰。相反，出现了具有有限动量峰的准费米子壳层结构，其位置由晶格位点占据数和相互作用强度调制。自旋关联的结构因子揭示了旋量任意子系统中的反铁磁有序，其关联幅度可通过任意子交换统计来调节。此外，淬火动力学分析揭示了统计相位参数作为有效的调节旋钮。它能够实现偶极振荡在欠阻尼和过阻尼弛豫机制之间的切换，并控制整体云团膨胀动力学。我们的发现为探索旋量任意子系统中统计驱动的基态和动力学相变铺平了道路。
英文摘要
We investigate the ground-state and dynamical properties of multicomponent interacting anyons confined in a one-dimensional (1D) optical lattice. Adopting the Anyon--Hubbard model, we explore spin and charge correlations as functions of interaction strength and the anyonic statistical parameter. Our results demonstrate that multicomponent effects combined with fractional exchange statistics substantially reshape both charge and spin correlations. For fractional exchange statistics, the canonical symmetric shell structure with prominent singularities in the spinor fermionic momentum distribution undergoes notable structural reconstruction, exhibiting emergent asymmetry, new spectral peaks, and broadened singular features. Unlike the Tonks--Girardeau bosonic gas, pseudobosons, representing a limiting case of anyons, cease to display a dominant zero-momentum peak. Instead, a quasi-fermionic shell structure emerges with finite-momentum peaks, whose locations are modulated by lattice site occupancy and interaction strength. The structure factor of spin correlations uncovers antiferromagnetic ordering in spinor anyon systems, with correlation magnitudes tunable by anyonic exchange statistics. Furthermore, quench dynamics analysis reveals the statistical phase parameter as an effective tuning knob. It enables the switching of dipole oscillations between underdamped and overdamped relaxation regimes and governs overall cloud expansion dynamics. Our findings pave the way for exploring statistics-driven ground-state and dynamical phase transitions in spinor anyon systems.
发表机构
- Rice University（莱斯大学）
- The University of Oklahoma（俄克拉荷马大学）
- Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences（中国科学院精密测量科学与技术创新研究院）
- Research School of Physics, Australian National University（澳大利亚国立大学物理研究学院）
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