Heisenberg链局域守恒量的矩阵乘积算子表示
统计力学
2023-11-03 v3 数学物理
math.MP
可精确求解与可积系统
摘要
我们给出了Heisenberg链局域守恒量的矩阵乘积算子(MPO)表示的显式表达式。MPO的键维数随守恒量的局域性线性增长。MPO比局域守恒量本身具有更简单的形式，且其Catalan树模式自然地由矩阵乘积显现。局域守恒量的MPO表示被推广到可积的不变自旋链。
引用
@article{arxiv.2306.03431,
title = {Matrix product operator representations for the local conserved quantities of the Heisenberg chain},
author = {Kyoichi Yamada and Kohei Fukai},
journal= {arXiv preprint arXiv:2306.03431},
year = {2023}
}
备注
18 pages, 2 figures; (v2 revised for SciPost) revised argument, added reference, added one appendix, corrected typos; (v3 revised for SciPost) revised argument, added subsection, corrected typos