Recent Developments of World-Line Monte Carlo Methods

  • Kawashima Naoki
    Department of Physics, Tokyo Metropolitan University
  • Harada Kenji
    Department of Applied Analysis and Complex Dynamical Systems, Kyoto University

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Abstract

World-line quantum Monte Carlo methods are reviewed with an emphasis on breakthroughs made in recent years. In particular, three algorithms — the loop algorithm, the worm algorithm, and the directed-loop algorithm — for updating world-line configurations are presented in a unified perspective. Detailed descriptions of the algorithms in specific cases are also given.

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