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 …

In these lecture notes we give a technical overview of tangent-space methods for matrix
product states in the thermodynamic limit. We introduce the manifold of uniform matrix …

The nonequilibrium response of a quantum many-body system defines its fundamental
transport properties and how initially localized quantum information spreads. However, for …

Physics is living an era of unprecedented cross-fertilization among the different areas of
science. In this perspective review, we discuss the manifold impact that state-of-the-art cold …

The matrix product state (MPS) belongs to the most important models in, for example,
quantum information sciences and condensed-matter physics. However, realizing an N …

We present a conjugate-gradient method for the ground-state optimization of projected
entangled-pair states (PEPS) in the thermodynamic limit, as a direct implementation of the …

Renormalization group theory of tensor network states provides a powerful tool for studying
quantum many-body problems and a new paradigm for understanding entangled structures …

A bstract We show the feasibility of tensor network solutions for lattice gauge theories in
Hamiltonian formulation by applying matrix product states algorithms to the Schwinger …

A bstract In this work, we propose a testing procedure to distinguish between the different
approaches for computing complexity. Our test does not require a direct comparison …

We simulate, using nonperturbative methods, the real-time dynamics of small bubbles of
“false vacuum” in a quantum spin chain near criticality, where the low-energy physics is …