[HTML][HTML] Progress on stochastic analytic continuation of quantum Monte Carlo data

H Shao, AW Sandvik - Physics Reports, 2023 - Elsevier
We report multipronged progress on the stochastic averaging approach to numerical
analytic continuation of imaginary-time correlation functions computed by quantum Monte …

Nevanlinna analytical continuation

J Fei, CN Yeh, E Gull - Physical Review Letters, 2021 - APS
Simulations of finite temperature quantum systems provide imaginary frequency Green's
functions that correspond one to one to experimentally measurable real-frequency spectral …

Analytical continuation of matrix-valued functions: Carathéodory formalism

J Fei, CN Yeh, D Zgid, E Gull - Physical Review B, 2021 - APS
Finite-temperature quantum field theories are formulated in terms of Green's functions and
self-energies on the Matsubara axis. In multiorbital systems, these quantities are related to …

Sparse modeling in quantum many-body problems

J Otsuki, M Ohzeki, H Shinaoka… - journal of the physical …, 2020 - journals.jps.jp
This review paper describes the basic concept and technical details of sparse modeling and
its applications to quantum many-body problems. Sparse modeling refers to methodologies …

Minimal pole representation and controlled analytic continuation of Matsubara response functions

L Zhang, E Gull - Physical Review B, 2024 - APS
Analytic continuation is a central step in the simulation of finite-temperature field theories in
which numerically obtained Matsubara data are continued to the real frequency axis for a …

Extraction of the frequency moments of spectral densities from imaginary-time correlation function data

T Dornheim, DC Wicaksono, JE Suarez-Cardona… - Physical Review B, 2023 - APS
We introduce an exact framework to compute the positive frequency moments M (α)(q)=〈 ω
α〉 of different dynamic properties from imaginary-time quantum Monte Carlo data. As a …

Coexisting charge density wave and ferromagnetic instabilities in monolayer InSe

EA Stepanov, V Harkov, M Rösner… - npj Computational …, 2022 - nature.com
Recently fabricated InSe monolayers exhibit remarkable characteristics that indicate the
potential of this material to host a number of many-body phenomena. In this work, we …

Ab initio path integral Monte Carlo approach to the static and dynamic density response of the uniform electron gas

S Groth, T Dornheim, J Vorberger - Physical Review B, 2019 - APS
In a recent Letter [T. Dornheim, Phys. Rev. Lett. 121, 255001 (2018) PRLTAO 0031-9007
10.1103/PhysRevLett. 121.255001] we have presented ab initio results for the dynamic …

[HTML][HTML] ana_cont: Python package for analytic continuation

J Kaufmann, K Held - Computer Physics Communications, 2023 - Elsevier
We present the Python package ana_cont for the analytic continuation of fermionic and
bosonic many-body Green's functions by means of either the Padé approximants or the …

[HTML][HTML] Fourier–Matsubara series expansion for imaginary–time correlation functions

P Tolias, F Kalkavouras, T Dornheim - The Journal of Chemical …, 2024 - pubs.aip.org
A Fourier–Matsubara series expansion is derived for imaginary–time correlation functions
that constitutes the imaginary–time generalization of the infinite Matsubara series for equal …