On Haag Duality for Pure States of Quantum Spin Chain
M. Keyl, Taku Matsui, D. Schlingemann, R. F. Werner
TL;DR
This paper proves Haag duality for pure states in quantum spin chains, specifically for semi-infinite intervals, under conditions where the associated von Neumann algebras are not type I.
Contribution
It establishes Haag duality in quantum spin chains for a broad class of pure states and non-type I von Neumann algebras, extending previous results.
Findings
Haag duality holds for semi-infinite intervals in pure states of quantum spin chains.
The result applies when the von Neumann algebras are not type I.
Provides a rigorous mathematical foundation for duality in quantum spin systems.
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.
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