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A Multigrid Algorithm for Sampling Imaginary-Time Paths in Quantum Monte Carlo Simulations

C. H. Mak·Sergei Zakharov
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Abstract

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.

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BibTeXRIS

C. H. Mak, Sergei Zakharov. 2004-02-06. A Multigrid Algorithm for Sampling Imaginary-Time Paths in Quantum Monte Carlo Simulations. https://arxiv.org/abs/cond-mat/0402181

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