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无限U SU(N)哈伯德链中的自旋-电荷从属关系

Spin-Charge Subordination in the Infinite-$U$ $SU(N)$ Hubbard Chain

Cătălin Paşcu Moca, Ovidiu I. Pâţu, Gergely Zaránd, Balázs Dóra

arXiv 2609.04814首次发表:更新:

发表机构

University of Oradea; Budapest University of Technology and Economics; Institute for Space Sciences, Bucharest-Măgurele(奥拉德大学; 布达佩斯技术与经济大学; 布加勒斯特-马古雷莱空间科学研究所)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究针对一维无限U SU(N)哈伯德模型,推导了电荷与味输运的精确全计数统计,确立自旋-电荷从属关系为一维不可穿透量子气体内部态异常缓慢输运的运动学机制。

AI 中文摘要

我们得到了一维无限U SU(N)哈伯德模型中电荷与味输运的精确全计数统计。不可逾越约束冻结了有序味序列,而粒子坐标则作为无自旋自由费米子演化。因此,电荷转移由自由费米子行列式描述,味转移则精确从属穿过观测截面的粒子数。对任意无迹嘉当生成元,这给出了电荷与味累积量间的精确关系。完整的渐近味分布为普适非高斯M-赖特定律。这些结果共同确立了自旋-电荷从属关系为一维不可穿透量子气体中异常缓慢内部态输运的运动学机制。

英文摘要

We obtain the exact full counting statistics of charge and flavor transport in the one-dimensional infinite-$U$ $SU(N)$ Hubbard model. The no-passing constraint freezes the ordered flavor sequence while the particle coordinates evolve as free spinless fermions. Consequently, charge transfer is governed by a free-fermion determinant, whereas flavor transfer is exactly subordinated to the number of particles crossing the observation cut. For an arbitrary traceless Cartan generator this yields an exact relation between the charge and flavor cumulants. The complete asymptotic flavor distribution is a universal non-Gaussian M-Wright law. Together, these results establish spin--charge subordination as a kinematic mechanism for anomalously slow internal-state transport in one-dimensional impenetrable quantum gases.

Comments5 pages, 3 figures

论文原文

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