SPIN CHAIN SIMULATIONS WITH A MERON CLUSTER ALGORITHM

Thomas Boyer, Wolfgang Bietenholz () and Jair Wuilloud
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Thomas Boyer: Institut für Physik, Humboldt-Universität zu Berlin, Newtonstr. 15, D-12489 Berlin, Germany;
Wolfgang Bietenholz: Institut für Physik, Humboldt-Universität zu Berlin, Newtonstr. 15, D-12489 Berlin, Germany;
Jair Wuilloud: Institut für Physik, Humboldt-Universität zu Berlin, Newtonstr. 15, D-12489 Berlin, Germany;

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 09, 1497-1511

Abstract: We apply a meron cluster algorithm to the XY spin chain, which describes a quantum rotor. This is a multi-cluster simulation supplemented by an improved estimator, which deals with objects of half-integer topological charge. This method is powerful enough to provide precise results for the model with a θ-term — it is therefore one of the rare examples, where a system with a complex action can be solved numerically. In particular we measure the correlation length, as well as the topological and magnetic susceptibility. We discuss the algorithmic efficiency in view of the critical slowing down. Due to the excellent performance that we observe, it is strongly motivated to work on new applications of meron cluster algorithms in higher dimensions.

Keywords: Cluster algorithms; θ vacua; spin chains (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107011510

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