[HTML][HTML] Time-evolution methods for matrix-product states

S Paeckel, T Köhler, A Swoboda, SR Manmana… - Annals of Physics, 2019 - Elsevier
Matrix-product states have become the de facto standard for the representation of one-
dimensional quantum many body states. During the last few years, numerous new methods …

Efficient numerical simulations with tensor networks: Tensor Network Python (TeNPy)

J Hauschild, F Pollmann - SciPost Physics Lecture Notes, 2018 - scipost.org
Tensor product state (TPS) based methods are powerful tools to efficiently simulate quantum
many-body systems in and out of equilibrium. In particular, the one-dimensional matrix …

Error estimates for extrapolations with matrix-product states

C Hubig, J Haegeman, U Schollwöck - Physical Review B, 2018 - APS
We introduce an error measure for matrix-product states without requiring the relatively
costly two-site density-matrix renormalization group (2DMRG). This error measure is based …

Efficient and flexible approach to simulate low-dimensional quantum lattice models with large local Hilbert spaces

T Köhler, J Stolpp, S Paeckel - SciPost Physics, 2021 - scipost.org
Quantum lattice models with large local Hilbert spaces emerge across various fields in
quantum many-body physics. Problems such as the interplay between fermions and …

Manipulating quantum materials with quantum light

M Kiffner, JR Coulthard, F Schlawin, A Ardavan… - Physical Review B, 2019 - APS
We show that the macroscopic magnetic and electronic properties of strongly correlated
electron systems can be manipulated by coupling them to a cavity mode. As a paradigmatic …

Tensor network Python (TeNPy) version 1

J Hauschild, J Unfried, S Anand, B Andrews… - arxiv preprint arxiv …, 2024 - arxiv.org
TeNPy (short for'Tensor Network Python') is a python library for the simulation of strongly
correlated quantum systems with tensor networks. The philosophy of this library is to achieve …

Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body …

M Kunimi, T Tomita, H Katsura, Y Kato - Physical Review A, 2024 - APS
We have developed a method to simulate quantum spin models with the Dzyaloshinskii-
Moriya interaction (DMI) using Rydberg atom quantum simulators. Our approach involves a …

Finite projected entangled pair states for the Hubbard model

M Scheb, RM Noack - Physical Review B, 2023 - APS
We adapt and optimize the projected-pair-entangled-state (PEPS) algorithm on finite lattices
(fPEPS) for two-dimensional Hubbard models and apply the algorithm to the Hubbard model …

Hamiltonian truncation tensor networks for quantum field theories

P Schmoll, J Naumann, A Nietner, J Eisert… - arxiv preprint arxiv …, 2023 - arxiv.org
Understanding the equilibrium properties and out of equilibrium dynamics of quantum field
theories are key aspects of fundamental problems in theoretical particle physics and …

[HTML][HTML] Topological phases of an interacting majorana benalcazar–bernevig–hughes model

A Maiellaro, F Illuminati, R Citro - Condensed Matter, 2022 - mdpi.com
We study the effects of Coulomb repulsive interactions on a Majorana Benalcazar–Bernevig–
Huges (MBBH) model. The MBBH model belongs to the class of second-order topological …