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

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

2004-02-06

arxiv.org/abs/cond-mat/0402181v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 12 figures. J. Phys. Chem. B (in press)

Scientific paper

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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