A causality-based divide-and-conquer algorithm for nonequilibrium Green’s function calculations with quantics tensor trains

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Authors: Ken Inayoshi, M. Środa, Anna Kauch, Philipp Werner, Hiroshi Shinaoka
Cited by: 2
References: 118

Abstract

We propose a causality-based divide-and-conquer algorithm for nonequilibrium Green’s function calculations with quantics tensor trains. This algorithm enables stable and efficient extensions of the simulated time domain by exploiting the causality of Green’s functions. We apply this approach within the framework of nonequilibrium dynamical mean-field theory to the simulation of quench dynamics in symmetry-broken phases, where long-time simulations are often required to capture slow relaxation dynamics. We demonstrate that our algorithm allows to extend the simulated time domain without a significant increase in the cost of storing the Green’s function.

Fields of Study & Subjects

Quantum many-body systems Block Copolymer Self-Assembly Advanced Thermodynamics and Statistical Mechanics

Publication details

Journal / source
SciPost Physics
Publisher
Stichting SciPost
Volume
20
Issue
3
Publication date
9 March 2026
Language
EN