The density of states approach to the sign problem

Approaches to the sign problem based on the density of states have been recently revived by the introduction of the LLR algorithm, which allows us to compute the density of states itself with exponential error reduction. In this work, after a review of the generalities of the method, we show recent...

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Bibliographic Details
Published in:arXiv.org 2019-01
Main Authors: Lucini, Biagio, Francesconi, Olmo, Holzmann, Markus, Rago, Antonio
Format: Article
Language:English
Subjects:
Control methods
Density of states
Error reduction
Identification methods
Systematic errors
Online Access:Get full text
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Summary:Approaches to the sign problem based on the density of states have been recently revived by the introduction of the LLR algorithm, which allows us to compute the density of states itself with exponential error reduction. In this work, after a review of the generalities of the method, we show recent results for the Bose gas in four dimensions, focussing on the identification of possible systematic errors and on methods of controlling the bias they can introduce in the calculation.
ISSN:2331-8422