{ "id": "1306.6320", "version": "v2", "published": "2013-06-26T19:29:51.000Z", "updated": "2014-11-21T19:31:52.000Z", "title": "Flat histogram diagrammatic Monte Carlo method", "authors": [ "Nikolaos G. Diamantis", "Efstratios Manousakis" ], "comment": "7 two-column pages 4 eps figures", "journal": "Phys. Rev. E 88, 043302 (2013)", "categories": [ "cond-mat.stat-mech", "cond-mat.str-el", "physics.comp-ph" ], "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", "revisions": [ { "version": "v1", "updated": "2013-06-26T19:29:51.000Z", "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 Letter, 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.", "comment": "5 two-column pages 3 eps figures", "journal": null, "doi": null }, { "version": "v2", "updated": "2014-11-21T19:31:52.000Z" } ], "analyses": { "subjects": [ "05.10.Ln", "02.70.Ss" ], "keywords": [ "flat histogram diagrammatic monte carlo", "histogram diagrammatic monte carlo method", "greens function", "flat histogram principle", "entire diagrammatic series" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "doi": "10.1103/PhysRevE.88.043302", "year": 2013, "month": "Oct", "volume": 88, "number": 4, "pages": "043302" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvE..88d3302D" } } }