ON HAAG DUALITY FOR PURE STATES OF QUANTUM SPIN CHAINS
Michael Keyl, Taku Matsui, Dirk-M. Schlingemann +1 more
In this note, we consider quantum spin chains and their translationally invariant pure states. We prove Haag duality for quasilocal observables localized in semi-infinite intervals (-∞ , 0] and [1, ∞) when the von Neumann algebra generated by observables localized in [0, ∞) is non-type I.
arXiv:math-ph/0703013•Reviews in Mathematical Physics•Jul 1, 2008•7 citations