2003/06/16 by M. Troyer, F. Alet, S. Trebst +1
Physics and Astronomy · #physics.comp-ph #cond-mat.stat-mech #hep-lat
paper · pdf · doi:10.1063/1.1632126
published as AIP Conf. Proc. 690, 156 (2003) · 14 pages, article for the proceedings of the "The Monte Carlo Method in the Physical Sciences: Celebrating the 50th Anniversary of the Metropolis Algorithm", Los Alamos, June 9-11, 2003
arxiv created 2003/06/16 · arxiv updated 2009/11/30
We review the development of update schemes for quantum lattice models simulated using world line quantum Monte Carlo algorithms. Starting from the Suzuki-Trotter mapping we discuss limitations of local update algorithms and highlight the main developments beyond Metropolis-style local updates: the development of cluster algorithms, their generalization to continuous time, the worm and directed-loop algorithms and finally a generalization of the flat histogram method of Wang and Landau to quantum systems.