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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 8: Quanten-Informationstheorie

MP 8.2: Talk

Thursday, March 6, 2008, 17:20–17:40, KGI-HS 1023

Haag duality of infinite quantum spin chains — •Michael Keyl¹, Taku Matsui², Dirk Schlingemann¹, and Reinhard F. Werner³ — ¹ISI Foundation, 10133 Torino, Italy — ²Graduate School of Mathematics, Kyushu Univ, 1-10-6 Hakozaki, Fukuoka 812-8581, Japan — ³Institut für Mathematische Physik, TU Braunschweig, 38106 Braunschweig, Germany

In this talk we consider an infinite spin chain as a bipartite system consisting of the left and right half-chain and analyze Haag duality with respect to this splitting. Using Cuntz algebra methods we will show in particular that each pure, translational invariant state satisfies Haag duality. In addition the importance of this condition for entanglement theory of quantum spin systems is discussed.

[1] M. Keyl, T. Matsui, D. Schlingemann, R. F. Werner, Entanglement, Haag-duality and type properties of infinite quantum spin chains, Rev. Math. Phys. 18, no. 9, 935-970 (2006)

[2] M. Keyl, T. Matsui, D. Schlingemann, R. F. Werner, On Haag duality for pure states of quantum spin chains, math-ph/0703013