AI 中文总结
该研究通过精确解证明环上强排斥量子混合物在单杂质极限下可呈现任意子统计，设计了可逆动力学任意子化的淬火协议，为超冷原子实现任意子态提供了路径。
AI 中文摘要
一维强排斥量子混合物因轨道与自旋自由度的相互作用呈现非平凡交换统计。本文利用精确解证明，在单杂质极限下，穿有人工规范场的环上费米-费米混合物与玻色-玻色混合物的波函数，在杂质与多数粒子交换时呈现精确的任意子统计，产生的分数交换相位由外加通量选取的角动量扇区确定。研究发现，杂质动量分布与任意子分布完全一致，与混合物的玻色或费米属性无关，大动量尾部编码了任意子统计角的直接特征。最后，本文设计了用于可逆动力学任意子化的淬火协议，研究结果为利用超冷原子实现和操控任意子化态提供了路径。
英文摘要
One-dimensional strongly repulsive quantum mixtures exhibit non-trivial exchange statistics arising from the interplay between orbital and spin degrees of freedom. Using an exact solution, we demonstrate that in the single-impurity limit the wavefunction of Fermi-Fermi and Bose-Bose mixtures on a ring threaded by an artificial gauge field display exact anyonic statistics under exchange of the impurity with the majority particles. The resulting fractional exchange phase is fixed by the angular momentum sector selected through the applied flux. We find that the impurity momentum distribution coincide exactly with the anyonic one, independently of the bosonic or fermionic nature of the mixture, with the large-momentum tails encoding a direct signature of the anyonic statistical angle. Finally, we devise a quench protocol for reversible dynamical anyonization. Our results provide a path for realizing and manipulating anyonized states with ultracold atoms.
Comments30 pages, 19 figures
