SmoQyDEAC.jl: an analytic continuation package for Matsubara correlation functions

ORAL

Abstract



Quantum Monte Carlo (QMC) methods allow physicists to measure the imaginary-time correlation functions for interacting systems. Due to causality requirements, these functions are analytic in the upper half of the complex plane. This allows for the analytic continuation (AC) of measured correlation functions to the real axis, allowing for comparison against experiment. However, QMC correlation function measurements are typically noisy and restricted to a grid of discrete imaginary times, resulting in AC being an ill-posed problem in practice. Here we introduce SmoQyDEAC.jl, a stand-alone Julia package in the SmoQySuite organization that implements the recently developed Differential Evolution for Analytic Continuation (DEAC) algorithm. This package adheres to the SmoQySuite design philosophy, being simple to install, easy to run, and with output which is easily post-processed. We provide an overview of the DEAC algorithm, then introduce SmoQyDEAC.jl scripting interface, and finally present benchmark results for both fermions and bosons, comparing against other common AC methods.

* This work was supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences, under Award Number DE-SC0022311.

Presenters

  • James C Neuhaus

    University of Tennessee

Authors

  • James C Neuhaus

    University of Tennessee

  • Nathan S Nichols

    University of Vermont

  • Debshikha Banerjee

    University of Tennessee Knoxville, University of Tennessee. Knoxville

  • Benjamin Cohen-Stead

    University of Tennessee Knoxville

  • Thomas A Maier

    Oak Ridge National Laboratory

  • Adrian G Del Maestro

    University of Tennessee

  • Steven S Johnston

    University of Tennessee