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

C.H. Mak, Sergei Zakharov
2004 arXiv   pre-print
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.
arXiv:cond-mat/0402181v1 fatcat:7zutyilfrbf6znqd2lnabunama