{ "id": "cond-mat/0402181", "version": "v1", "published": "2004-02-06T00:00:30.000Z", "updated": "2004-02-06T00:00:30.000Z", "title": "A Multigrid Algorithm for Sampling Imaginary-Time Paths in Quantum Monte Carlo Simulations", "authors": [ "C. H. Mak", "Sergei Zakharov" ], "comment": "9 pages, 12 figures. J. Phys. Chem. B (in press)", "categories": [ "cond-mat.stat-mech" ], "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.", "revisions": [ { "version": "v1", "updated": "2004-02-06T00:00:30.000Z" } ], "analyses": { "keywords": [ "quantum monte carlo simulation", "sampling imaginary-time paths", "multigrid algorithm", "imaginary-time path integrals", "novel simulation method" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004cond.mat..2181M" } } }