Multiscale space-time ansatz for correlation functions of quantum systems based on quantics tensor trains

H Shinaoka, M Wallerberger, Y Murakami, K Nogaki… - Physical Review X, 2023 - APS
The correlation functions of quantum systems—central objects in quantum field theories—
are defined in high-dimensional space-time domains. Their numerical treatment thus suffers …

Embedded multi-boson exchange: A step beyond quantum cluster theories

D Kiese, N Wentzell, I Krivenko, O Parcollet, K Held… - Physical Review …, 2024 - APS
We introduce a diagrammatic multi-scale approach to the Hubbard model based on the
interaction-irreducible (multi-boson) vertex of a small cluster embedded in a self-consistent …

Two-site reduced density matrix from one-and two-particle Green's functions

G Roósz, A Kauch, F Bippus, D Wieser, K Held - Physical Review B, 2024 - APS
Strongly correlated electron systems are challenging to calculate, and entanglement in such
systems is not widely analyzed. We present an approach that can be used as a …

Two-particle calculations with quantics tensor trains--solving the parquet equations

S Rohshap, MK Ritter, H Shinaoka, J von Delft… - arXiv preprint arXiv …, 2024 - arxiv.org
We present the first application of quantics tensor trains (QTTs) and tensor cross
interpolation (TCI) to the solution of a full set of self-consistent equations for multivariate …

Single-boson exchange functional renormalization group application to the two-dimensional Hubbard model at weak coupling

K Fraboulet, S Heinzelmann, PM Bonetti… - The European Physical …, 2022 - Springer
We illustrate the algorithmic advantages of the recently introduced single-boson exchange
(SBE) formulation for the one-loop functional renormalization group (fRG), by applying it to …

Single-boson exchange formulation of the Schwinger-Dyson equation and its application to the functional renormalization group

M Patricolo, M Gievers, K Fraboulet, A Al-Eryani… - arXiv preprint arXiv …, 2024 - arxiv.org
We extend the recently introduced single-boson exchange formulation to the computation of
the self-energy from the Schwinger-Dyson equation (SDE). In particular, we derive its …

Addressing energy density functionals in the language of path-integrals II: comparative study of functional renormalization group techniques applied to the (0+0)-D O(N) …

K Fraboulet, JP Ebran - The European Physical Journal A, 2024 - Springer
The present paper is the second of a series of publications that aim at investigating relevant
directions to turn the nuclear energy density functional (EDF) method as an effective field …

Compactness of quantics tensor train representations of local imaginary-time propagators

H Takahashi, R Sakurai, H Shinaoka - SciPost Physics, 2025 - scipost.org
Abstract Space-time dependence of imaginary-time propagators, vital for ab initio and many-
body calculations based on quantum field theories, has been revealed to be compressible …

Spin-fermion coupling enhances pairing in the pseudogap regime of the hole-doped Hubbard model

Y Yu, S Iskakov, E Gull, K Held, F Krien - arXiv preprint arXiv:2410.01705, 2024 - arxiv.org
We perform a fluctuation analysis of the pairing interaction in the hole-doped Hubbard
model within the dynamical cluster approximation. Our analysis reveals that spin-fluctuation …

Ladder equation for the three-particle vertex and its approximate solution

P Kappl, T Ribic, A Kauch, K Held - arXiv preprint arXiv:2412.01848, 2024 - arxiv.org
We generalize the three two-particle Bethe-Salpeter equations to ten three-particle ladders.
These equations are exact and yield the exact three-particle vertex, if we knew the three …