Matrix product operator representations for the local conserved quantities of the Heisenberg chain
Statistical Mechanics
2023-11-03 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We present the explicit expressions for the matrix product operator (MPO) representation for the local conserved quantities of the Heisenberg chain. The bond dimension of the MPO grows linearly with the locality of the charges. The MPO has more simple form than the local charges themselves, and their Catalan tree patterns naturally emerge from the matrix products. The MPO representation of local conserved quantities is generalized to the integrable invariant spin chain.
Keywords
Cite
@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}
}
Comments
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