On haag duality for pure states of quantum spin chains

M. Keyl, Taku Matsui, D. Schlingemann, R. F. Werner

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)707-724
Number of pages18
JournalReviews in Mathematical Physics
Volume20
Issue number6
DOIs
Publication statusPublished - Jul 1 2008

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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