Inchworm quasi Monte Carlo for quantum impurities

ORAL

Abstract

The inchworm expansion is a promising approach to solving strongly correlated quantum impurity models due to its reduction of the sign problem in real and imaginary time. We show that the imaginary time integration is amenable to quasi Monte Carlo, with enhanced N-1 convergence, compared to standard inchworm Monte Carlo calculations with N-1/2 convergence. This extends the applicability of the inchworm method to, e.g., multi-orbital Anderson impurity models with off-diagonal hybridization, relevant for materials simulation, where continuous time hybridization expansion Monte Carlo has a severe sign problem. We also present an open source implementation of our Inchworm quasi Monte Carlo approach: QInchworm.jl, implemented in the Julia programming language.

* HURS and IK acknowledge funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (Grant agreement No. 854843-FASTCORR). The computations were enabled by resources provided by the National Academic Infrastructure for Supercomputing in Sweden (NAISS) and the Swedish National Infrastructure for Computing (SNIC) through the projects SNIC 2022/1-18, SNIC 2022/6-113, SNIC 2022/13-9, SNIC 2022/21-15, NAISS 2023/1-44, and NAISS 2023/6-129, at PDC, NSC and CSC partially funded by the Swedish Research Council through grant agreements no. 2022-06725 and no. 2018-05973.

Publication: Planned submission to Phys. Rev. Lett. during the fall 2023.

Presenters

  • Hugo U Strand

    Örebro University, School of Science and Technology, Örebro University

Authors

  • Hugo U Strand

    Örebro University, School of Science and Technology, Örebro University

  • Joseph Kleinheinz

    University of California

  • Igor S Krivenko

    Universität Hamburg