English

Flat histogram diagrammatic Monte Carlo method

Statistical Mechanics 2015-06-16 v2 Strongly Correlated Electrons Computational Physics

Abstract

The diagrammatic Monte Carlo (Diag-MC) method is a numerical technique which samples the entire diagrammatic series of the Green's function in quantum many-body systems. In this work, we incorporate the flat histogram principle in the diagrammatic Monte method and we term the improved version "Flat Histogram Diagrammatic Monte Carlo" method. We demonstrate the superiority of the method over the standard Diag-MC in extracting the long-imaginary-time behavior of the Green's function, without incorporating any a priori knowledge about this function, by applying the technique to the polaron problem

Keywords

Cite

@article{arxiv.1306.6320,
  title  = {Flat histogram diagrammatic Monte Carlo method},
  author = {Nikolaos G. Diamantis and Efstratios Manousakis},
  journal= {arXiv preprint arXiv:1306.6320},
  year   = {2015}
}

Comments

7 two-column pages 4 eps figures

R2 v1 2026-06-22T00:40:53.726Z