English

Compressing Green's function using intermediate representation between imaginary-time and real-frequency domains

Strongly Correlated Electrons 2017-07-26 v3 Statistical Mechanics Machine Learning

Abstract

New model-independent compact representations of imaginary-time data are presented in terms of the intermediate representation (IR) of analytical continuation. This is motivated by a recent numerical finding by the authors [J. Otsuki et al., arXiv:1702.03056]. We demonstrate the efficiency of the IR through continuous-time quantum Monte Carlo calculations of an Anderson impurity model. We find that the IR yields a significantly compact form of various types of correlation functions. The present framework will provide general ways to boost the power of cutting-edge diagrammatic/quantum Monte Carlo treatments of many-body systems.

Keywords

Cite

@article{arxiv.1702.03054,
  title  = {Compressing Green's function using intermediate representation between imaginary-time and real-frequency domains},
  author = {Hiroshi Shinaoka and Junya Otsuki and Masayuki Ohzeki and Kazuyoshi Yoshimi},
  journal= {arXiv preprint arXiv:1702.03054},
  year   = {2017}
}

Comments

9 pages, 7 figures

R2 v1 2026-06-22T18:14:33.020Z