发表机构
Rice University; The University of Oklahoma; Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences; Research School of Physics, Australian National University（莱斯大学; 俄克拉荷马大学; 中国科学院精密测量科学与技术创新研究院; 澳大利亚国立大学物理研究学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该工作提出广义有效自旋链形式体系，通过自旋-电荷分离映射描述一维光晶格中强相互作用多组分任意子，揭示统计相位通过虚隧穿印刻于自旋交换系数，并解释非平衡输运中的方向依赖相位与干涉效应。
AI 中文摘要
我们发展了一种广义有效自旋链（GESC）形式体系，用于描述一维（1D）光晶格中强相互作用的多组分任意子。通过将粒子运动映射为无自旋费米子，并将自旋态映射为有序链，该框架为分数交换统计的物理效应提供了自旋-电荷分离的视角。在强相互作用区域，领头阶电荷哈密顿量变得与统计相位无关；相反，通过双占据态的虚隧穿直接将此相位印刻在自旋交换系数上。GESC形式体系能够捕捉完整任意子-哈伯德模型的基态性质，该模型在S. Basak、X.-W. Guan和H. Pu的未发表手稿（2026年）中有所报道，并揭示其统计依赖性主要编码在可观测量显式的任意子结构中，而非底层自旋基态中。该形式体系揭示，在非平衡状态下，连续的自旋交换会累积依赖于方向的相位；由此产生的干涉驱动了从色散到局域杂质输运的交叉，并在中间统计量下产生反演不对称的传播。对于全同和可区分杂质，抑制的扩展持续存在，传播差异由杂质同一性与相互作用各向异性之间的相互作用决定。最终，GESC提供了一个通用、计算高效的理论框架，将宏观动力学与微观虚交换过程联系起来，为解析分数交换统计如何在强相互作用下存续并在静态和动态区域中表现出显著差异提供了独特的自旋-电荷分离视角。
英文摘要
We develop a generalized effective spin-chain (GESC) formalism for strongly interacting multicomponent anyons in a one-dimensional (1D) optical lattice. By mapping particle motion onto spinless fermions and spin states onto an ordered chain, this framework provides a spin--charge-separated perspective on the physical effects of fractional exchange statistics. In the strong-interaction regime, the leading-order charge Hamiltonian becomes independent of the statistical phase; instead, virtual tunneling through doubly occupied states directly imprints this phase on the spin-exchange coefficients. The GESC formalism captures ground-state properties of the full Anyon--Hubbard model reported in S.~Basak, X.-W.~Guan, and H.~Pu, unpublished manuscript (2026), and reveals that their statistical dependence is predominantly encoded in the explicit anyonic structure of the observables rather than the underlying spin ground state. This formalism uncovers that, out of equilibrium, successive spin exchanges accumulate direction-dependent phases; the resulting interference drives crossover from dispersive to localized impurity transport and generates inversion-asymmetric propagation at intermediate statistics. Suppressed expansion persists for identical and distinguishable impurities, with differences in propagation governed by the interplay between impurity identity and interaction anisotropy. Ultimately, GESC offers a versatile, computationally efficient theoretical framework that connects macroscopic dynamics to microscopic virtual exchange processes, conferring a unique spin--charge-separated vantage for resolving how fractional exchange statistics survives strong interactions and manifests distinctly across static and dynamical regimes.
Comments27 pages, 15 figures
