HEOM‐QUICK2: A general‐purpose simulator for fermionic many‐body open quantum systems—An update

D Zhang, L Ye, J Cao, Y Wang, RX Xu… - Wiley …, 2024 - Wiley Online Library
Many‐body open quantum systems (OQSs) have a profound impact on various
subdisciplines of physics, chemistry, and biology. Thus, the development of a computer …

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 …

Quantics tensor cross interpolation for high-resolution parsimonious representations of multivariate functions

MK Ritter, Y Núñez Fernández, M Wallerberger… - Physical Review Letters, 2024 - APS
Multivariate functions of continuous variables arise in countless branches of science.
Numerical computations with such functions typically involve a compromise between two …

Equilibrium quantum impurity problems via matrix product state encoding of the retarded action

B Kloss, J Thoenniss, M Sonner, A Lerose, MT Fishman… - Physical Review B, 2023 - APS
In the 0+ 1-dimensional imaginary-time path integral formulation of quantum impurity
problems, the retarded action encodes the hybridization of the impurity with the bath. In this …

Tensor train continuous time solver for quantum impurity models

A Erpenbeck, WT Lin, T Blommel, L Zhang, S Iskakov… - Physical Review B, 2023 - APS
The simulation of strongly correlated quantum impurity models is a significant challenge in
modern condensed matter physics that has multiple important applications. Thus far, the …

Real-frequency quantum field theory applied to the single-impurity Anderson model

A Ge, N Ritz, E Walter, S Aguirre, J von Delft, FB Kugler - Physical Review B, 2024 - APS
A major challenge in the field of correlated electrons is the computation of dynamical
correlation functions. For comparisons with experiment, one is interested in their real …

Cross-extrapolation reconstruction of low-rank functions and application to quantum many-body observables in the strong coupling regime

M Jeannin, Y Núñez-Fernández, T Kloss, O Parcollet… - Physical Review B, 2024 - APS
We present a general-purpose algorithm to extrapolate a low-rank function of two variables
from a small domain to a larger one. It is based on the cross-interpolation formula. We apply …

Grover's algorithm offers no quantum advantage

EM Stoudenmire, X Waintal - arXiv preprint arXiv:2303.11317, 2023 - arxiv.org
Grover's algorithm is one of the primary algorithms offered as evidence that quantum
computers can provide an advantage over classical computers. It involves an" …

Fermi arcs from dynamical variational Monte Carlo

P Rosenberg, D Sénéchal, AMS Tremblay… - Physical Review B, 2022 - APS
Variational Monte Carlo is a many-body numerical method that scales well with system size.
It has been extended to study the Green function only recently by Charlebois and Imada …

Hierarchical equations of motion approach for accurate characterization of spin excitations in quantum impurity systems

D Zhang, L Zuo, L Ye, ZH Chen, Y Wang… - The Journal of …, 2023 - pubs.aip.org
Recent technological advancement in scanning tunneling microscopes has enabled the
measurement of spin-field and spin–spin interactions in single atomic or molecular junctions …