Tensor networks provide extremely powerful tools for the study of complex classical and
quantum many-body problems. Over the past two decades, the increment in the number of …

The many-body problem is ubiquitous in the theoretical description of physical phenomena,
ranging from the behaviour of elementary particles to the physics of electrons in solids. Most …

Lattice gauge theories, which originated from particle physics in the context of Quantum
Chromodynamics (QCD), provide an important intellectual stimulus to further develop …

Gauge theories establish the standard model of particle physics, and lattice gauge theory
(LGT) calculations employing Markov Chain Monte Carlo (MCMC) methods have been …

Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying
quantum field theories, and has led to impressive achievements. In particular, it significantly …

We propose a general scheme for a digital construction of lattice gauge theories with
dynamical fermions. In this method, the four-body interactions arising in models with 2+ 1 …

The successes and limitations of statistical sampling for a sequence of models studied in the
context of lattice QCD are discussed and the need for new methods to deal with finite …

We propose an explicit formulation of the physical subspace for a (1+ 1)-dimensional SU (2)
lattice gauge theory, where the gauge degrees of freedom are integrated out. Our …

Tensor network states, and in particular projected entangled pair states (PEPS) have been a
strong ansatz for the variational study of complicated quantum many-body systems, thanks …

We numerically study the zero temperature phase structure of the multiflavor Schwinger
model at nonzero chemical potential. Using matrix product states, we reproduce analytical …