On haag duality for pure states of quantum spin chains

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

doi:10.1142/S0129055X08003377

On haag duality for pure states of quantum spin chains

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

Research output: Contribution to journal › Article › peer-review

4 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 language	English
Pages (from-to)	707-724
Number of pages	18
Journal	Reviews in Mathematical Physics
Volume	20
Issue number	6
DOIs	https://doi.org/10.1142/S0129055X08003377
Publication status	Published - Jul 2008

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1142/S0129055X08003377

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title = "On haag duality for pure states of quantum spin chains",

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.",

keywords = "Cuntz algebra, Haag duality, Pure state, Translational invariance, UHF algebra",

author = "M. Keyl and Taku Matsui and D. Schlingemann and Werner, \{R. F.\}",

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T1 - On haag duality for pure states of quantum spin chains

AU - Keyl, M.

AU - Matsui, Taku

AU - Schlingemann, D.

AU - Werner, R. F.

PY - 2008/7

Y1 - 2008/7

N2 - 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.

AB - 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.

KW - Cuntz algebra

KW - Haag duality

KW - Pure state

KW - Translational invariance

KW - UHF algebra

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UR - https://www.scopus.com/pages/publications/47049117840#tab=citedBy

U2 - 10.1142/S0129055X08003377

DO - 10.1142/S0129055X08003377

M3 - Article

AN - SCOPUS:47049117840

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SP - 707

EP - 724

JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

IS - 6

ER -

On haag duality for pure states of quantum spin chains

Abstract

All Science Journal Classification (ASJC) codes

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