Research Seminar in Mathematics - Quasi Monte Carlo for open quantum many-body systems

Speaker

Hugo Strand, Örebro University.

Abstract

The simulation of open quantum many-body systems is a formidable challenge. Due to the dimensionality of the problem the goto method is stochastic Markov chain Monte Carlo, which converges as N^{-1/2} where N is the number of samples. We show how Markov chain Monte Carlo can be replaced by quasi Monte Carlo integration in the inchworm method, improving the convergence rate to N^{-1} [1]. This extends the applicability of the inchworm method to materials simulation, where continuous time hybridization expansion Monte Carlo has a severe sign problem. A Julia implementation of our inchworm quasi Monte Carlo approach: "QInchworm.jl", is available under an open source license [2].

[1] https://arxiv.org/abs/2310.16957
[2] https://github.com/krivenko/QInchworm.jl

Welcome!