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SmoQyDEAC.jl: A differential evolution package for the analytic continuation of imaginary time correlation functions

by James Neuhaus, Nathan S. Nichols, Debshikha Banerjee, Benjamin Cohen-Stead, Thomas A. Maier, Adrian Del Maestro, Steven Johnston

Submission summary

Authors (as registered SciPost users): James Neuhaus
Submission information
Preprint Link: https://arxiv.org/abs/2407.04568v2  (pdf)
Code repository: https://github.com/SmoQySuite/SmoQyDEAC.jl
Code version: v1.1.1
Code license: MIT
Data repository: https://zenodo.org/records/10407525
Date accepted: 2024-10-14
Date submitted: 2024-10-02 14:50
Submitted by: Neuhaus, James
Submitted to: SciPost Physics Codebases
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
Approach: Computational

Abstract

We introduce the SmoQyDEAC.jl package, a Julia implementation of the Differential Evolution Analytic Continuation (DEAC) algorithm [N. S. Nichols et al., Phys. Rev. E 106, 025312 (2022)] for analytically continuing noisy imaginary time correlation functions to the real frequency axis. Our implementation supports fermionic and bosonic correlation functions on either the imaginary time or Matsubara frequency axes, and treatment of the covariance error in the input data. This paper presents an overview of the DEAC algorithm and the features implemented in the SmoQyDEAC.jl. It also provides detailed benchmarks of the package's output against the popular maximum entropy and stochastic analytic continuation methods. The code for this package can be downloaded from our GitHub repository at https://github.com/SmoQySuite/SmoQyDEAC.jl or installed using the Julia package manager. The online documentation, including examples, can be accessed at https://smoqysuite.github.io/SmoQyDEAC.jl/stable/.

List of changes

We've added two appendices. The first (appendix A) highlights the reduction of noise in the DEAC result as a user increases the number of total genomes run. The second (appendix C) shows the characteristics of overfitting.

Published as SciPost Phys. Codebases 39 (2024) , SciPost Phys. Codebases 39-r1.1 (2024)

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