On Hastings factorization for quantum many-body systems in the infinite volume setting
Mathematical Physics
2025-09-05 v1 math.MP
Operator Algebras
Abstract
We will give self-contained and detailed proofs of the (multidimensional) Hastings factorization as well as a (1-dimensional) area law in a wider setup than previous works. Especially, they are applicable to both quantum spin and fermion chains of infinite volume as special cases.
Keywords
Cite
@article{arxiv.2407.12324,
title = {On Hastings factorization for quantum many-body systems in the infinite volume setting},
author = {Ayumi Ukai},
journal= {arXiv preprint arXiv:2407.12324},
year = {2025}
}
Comments
34 pages