English

On Haag Duality for Pure States of Quantum Spin Chain

Mathematical Physics 2008-11-26 v1 math.MP

Abstract

We consider quantum spin chains and their translationally invariant pure states. We prove Haag duality for quasilocal observables localized in semi-infinite intervals when the von Neumann algebras generated by observables localized in these intervals are not type I.

Keywords

Cite

@article{arxiv.math-ph/0703013,
  title  = {On Haag Duality for Pure States of Quantum Spin Chain},
  author = {M. Keyl and Taku Matsui and D. Schlingemann and R. F. Werner},
  journal= {arXiv preprint arXiv:math-ph/0703013},
  year   = {2008}
}