Freiburg 2008 – wissenschaftliches Programm
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 8: Quanten-Informationstheorie
MP 8.2: Vortrag
Donnerstag, 6. März 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