Non-local updates for quantum Monte Carlo simulations
Computational Physics
2007-05-23 v1 Statistical Mechanics
High Energy Physics - Lattice
Abstract
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.
Cite
@article{arxiv.physics/0306128,
title = {Non-local updates for quantum Monte Carlo simulations},
author = {M. Troyer and F. Alet and S. Trebst and S. Wessel},
journal= {arXiv preprint arXiv:physics/0306128},
year = {2007}
}
Comments
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