Recent Developments of World-Line Monte Carlo Methods

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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To appear in Journal of Physical Society of Japan

Scientific paper

10.1143/JPSJ.73.1379

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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