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

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 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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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.",

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year = "2008",

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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.

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M3 - Article

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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

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