Thirring 量子细胞自动机的扰动方法
摘要
Thirring 量子细胞自动机 (QCA) 描述了局部费米子模式的离散时间动力学，这些模式依据 Dirac 细胞自动机的一个步骤，然后遵循最一般的驻点数目保护相互作用演化， serves as the Thirring 模型在量子场论中的 QCA 对等物。 In this work, we develop perturbative techniques for the QCA path-sum approach, expanding both the number of interaction vertices and the mass parameter of the Thirring QCA. By classifying paths within the regimes of very light and very heavy particles, we computed the transition matrices in the two- and three-particle sectors to the first few orders. Our investigation into the properties of the Thirring QCA, addressing the combinatorial complexity of the problem, yielded some useful results applicable to the many-particle sector of any on-site number-preserving interactions in one spatial dimension.
关键词
引用
@article{arxiv.2406.19917,
title = {A perturbative approach to the solution of the Thirring quantum cellular automaton},
author = {Alessandro Bisio and Paolo Perinotti and Andrea Pizzamiglio and Saverio Rota},
journal= {arXiv preprint arXiv:2406.19917},
year = {2025}
}
备注
25 pages, 5 figures