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High-Speed Algorithm for Quantum Monte Carlo Simulation

  • Y. Okabe
  • M. Kikuchi
Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 74)

Abstract

This paper is concerned with a high-speed algorithm for Monte Carlo simulation of the quantum spin system using the Suzuki-Trotter formula. We introduce a binary-number spin representation using logical commands. The calculation is fully vectorized by decomposing into appropriate sublattices. The one-dimensional antiferromagnetic Heisenberg model (S=1/2) is studied for the Trotter number m≤32 to check the efficiency of our algorithm. We deal with both the pair-spin decomposition and the cluster-spin decomposition approximations.

Keywords

Monte Carlo Simulation Ising Model Global Process Heisenberg Model Monte Carlo Step 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • Y. Okabe
    • 1
  • M. Kikuchi
    • 1
  1. 1.Department of PhysicsTohoku UniversitySendai 980Japan

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