4.7 Article

Parameter-free differential evolution algorithm for the analytic continuation of imaginary time correlation functions

Journal

PHYSICAL REVIEW E
Volume 106, Issue 2, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.106.025312

Keywords

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Funding

  1. National Science Foundation (NSF) [DMR-1809027, DMR-1808440]
  2. NSF [OAC-1827314, ACI-1548562, PHY-1148698]
  3. U.S. Department of Energy's Office of Science

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This paper presents a parameter-free evolutionary algorithm for analytic continuation to generate the dynamic structure factor from imaginary time correlation functions, achieving enhanced spectral fidelity and reduced CPU hours without the need for fine-tuning of algorithmic control parameters.
We report on differential evolution for analytic continuation: a parameter-free evolutionary algorithm to generate the dynamic structure factor from imaginary time correlation functions. Our approach to this long-standing problem in quantum many-body physics achieves enhanced spectral fidelity while using fewer compute (CPU) hours. The need for fine-tuning of algorithmic control parameters is eliminated by embedding them within the genome to be optimized for this evolutionary computation-based algorithm. Benchmarks are presented for models where the dynamic structure factor is known exactly and experimentally relevant results are included for quantum Monte Carlo simulations of bulk He-4 below the superfluid transition temperature.

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