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Dobrushin's Uniqueness for Quantum Lattice Systems with Nonlocal Interaction |
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| Authors: | S. Albeverio Yu.G. Kondratiev M. Röckner T.V. Tsikalenko |
| Affiliation: | Fakult?t für Mathematik, Ruhr-Universit?t Bochum, D-44780 Bochum, Germany, DE BiBoS, Universit?t Bielefeld, D-33615 Bielefeld, Germany and Institute of Mathematics, Kiev, Ukraine, DE Fakult?t für Mathematik, Universit?t Bielefeld, D-33615 Bielefeld, Germany, DE |
| Abstract: | Based on Dobrushin's fundamental criterion, we prove uniqueness of Euclidean Gibbs states for a certain class of quantum lattice systems with unbounded spins, nonharmonic pair potentials and infinite radius of interaction. The necessary estimates on Dobrushin's coefficients are obtained from the Log-Sobolev inequality which holds for the one-point conditional distributions on the infinite dimensional single spin (= loop) spaces. Received: 25 October 1996 / Accepted: 3 March 1997 |
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