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Spin Chain Simulations With A Meron Cluster Algorithm

Author

Listed:
  • THOMAS BOYER

    (Institut für Physik, Humboldt-Universität zu Berlin, Newtonstr. 15, D-12489 Berlin, Germany;
    École Normale Supérieure de Cachan, 61, avenue du Président Wilson, F-94235 Cachan Cedex, France)

  • WOLFGANG BIETENHOLZ

    (Institut für Physik, Humboldt-Universität zu Berlin, Newtonstr. 15, D-12489 Berlin, Germany;
    NIC/DESY Zeuthen, Platanenallee 6, D-15738 Zeuthen, Germany)

  • JAIR WUILLOUD

    (Institut für Physik, Humboldt-Universität zu Berlin, Newtonstr. 15, D-12489 Berlin, Germany;
    Département de Physique Théorique, Université de Genève, 24, Quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland)

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.

Suggested Citation

  • Thomas Boyer & Wolfgang Bietenholz & Jair Wuilloud, 2007. "Spin Chain Simulations With A Meron Cluster Algorithm," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(09), pages 1497-1511.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:09:n:s0129183107011510
    DOI: 10.1142/S0129183107011510
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