TRIQS/Nevanlinna: Implementation of the Nevanlinna Analytic Continuation method for noise-free data

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Main Authors: Iskakov, Sergei, Hampel, Alexander, Wentzell, Nils, Gull, Emanuel
Format: Preprint
Published: 2023
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author Iskakov, Sergei
Hampel, Alexander
Wentzell, Nils
Gull, Emanuel
author_facet Iskakov, Sergei
Hampel, Alexander
Wentzell, Nils
Gull, Emanuel
contents We present the TRIQS/Nevanlinna analytic continuation package, an efficient implementation of the methods proposed by J. Fei et al in [Phys. Rev. Lett. 126, 056402 (2021)] and [Phys. Rev. B 104, 165111 (2021)]. TRIQS/Nevanlinna strives to provide a high quality open source (distributed under the GNU General Public License version 3) alternative to the more widely adopted Maximum Entropy based analytic continuation programs. With the additional Hardy functions optimization procedure, it allows for an accurate resolution of wide band and sharp features in the spectral function. Those problems can be formulated in terms of imaginary time or Matsubara frequency response functions. The application is based on the TRIQS C++/Python framework, which allows for easy interoperability with other TRIQS-based applications, electronic band structure codes and visualization tools. Similar to other TRIQS packages, it comes with a convenient Python interface.
format Preprint
id arxiv_https___arxiv_org_abs_2309_01407
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle TRIQS/Nevanlinna: Implementation of the Nevanlinna Analytic Continuation method for noise-free data
Iskakov, Sergei
Hampel, Alexander
Wentzell, Nils
Gull, Emanuel
Computational Physics
We present the TRIQS/Nevanlinna analytic continuation package, an efficient implementation of the methods proposed by J. Fei et al in [Phys. Rev. Lett. 126, 056402 (2021)] and [Phys. Rev. B 104, 165111 (2021)]. TRIQS/Nevanlinna strives to provide a high quality open source (distributed under the GNU General Public License version 3) alternative to the more widely adopted Maximum Entropy based analytic continuation programs. With the additional Hardy functions optimization procedure, it allows for an accurate resolution of wide band and sharp features in the spectral function. Those problems can be formulated in terms of imaginary time or Matsubara frequency response functions. The application is based on the TRIQS C++/Python framework, which allows for easy interoperability with other TRIQS-based applications, electronic band structure codes and visualization tools. Similar to other TRIQS packages, it comes with a convenient Python interface.
title TRIQS/Nevanlinna: Implementation of the Nevanlinna Analytic Continuation method for noise-free data
topic Computational Physics
url https://arxiv.org/abs/2309.01407