This is a partly non-technical introduction to selected topics on tensor network methods,
based on several lectures and introductory seminars given on the subject. It should be a …

Coupling a quantum many-body system to an external environment dramatically changes its
dynamics and offers novel possibilities not found in closed systems. Of special interest are …

At the liquid–gas phase transition in water, the density has a discontinuity at atmospheric
pressure; however, the line of these first-order transitions defined by increasing the applied …

The thermal or equilibrium ensemble is one of the most ubiquitous states of matter. For
models comprised of many locally interacting quantum particles, it describes a wide range of …

Accurate simulations of the two-dimensional (2D) Hubbard model constitute one of the most
challenging problems in condensed matter and quantum physics. Here we develop a …

An infinite projected entangled pair state (iPEPS) is a tensor network ansatz to represent a
quantum state on an infinite 2D lattice whose accuracy is controlled by the bond dimension …

Many-body localization is a striking mechanism that prevents interacting quantum systems
from thermalizing. The absence of thermalization behavior manifests itself, for example, in a …

Diagrammatic summation is a common bottleneck in modern applications of projected
entangled-pair states, especially in computing low-energy excitations of a two-dimensional …

We investigate the ground state of the spin S= 1 2 Heisenberg antiferromagnet on the
shuriken lattice, also in the presence of an external magnetic field. To this end, we employ …

Tensor network methods have become a powerful class of tools to capture strongly
correlated matter, but methods to capture the experimentally ubiquitous family of models at …