A Multigrid Algorithm for Sampling Imaginary-Time Paths in Quantum Monte Carlo Simulations
统计力学
2007-05-23 v1
摘要
We describe a novel simulation method that eliminates the slowing-down problem in the Monte Carlo simulations of imaginary-time path integrals near the continuum limit. This method combines a stochastic blocking procedure with the multigrid method to rapidly accelerate the sampling of paths in a quantum Monte Carlo simulation, making its dynamics more ergodic. The effectiveness and efficiency of this method are demonstrated for several one-dimensional quantum systems and compared to other standard and accelerated methods.
引用
@article{arxiv.cond-mat/0402181,
title = {A Multigrid Algorithm for Sampling Imaginary-Time Paths in Quantum Monte Carlo Simulations},
author = {C. H. Mak and Sergei Zakharov},
journal= {arXiv preprint arXiv:cond-mat/0402181},
year = {2007}
}
备注
9 pages, 12 figures. J. Phys. Chem. B (in press)