Translation invariant pure state on $\clb=\otimes_{\IZ}M_d(\IC)$ and its split property
Operator Algebras
2015-03-29 v3 Mathematical Physics
math.MP
Abstract
We prove that a real lattice symmetric reflection positive translation invariant pure state of is a split state if its two points spatial correlations functions decay exponentially.
Keywords
Cite
@article{arxiv.1310.1886,
title = {Translation invariant pure state on $\clb=\otimes_{\IZ}M_d(\IC)$ and its split property},
author = {Anilesh Mohari},
journal= {arXiv preprint arXiv:1310.1886},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:0904.2104