The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

We obtain multiple exact results on the entanglement of the exact excited states of
nonintegrable models we introduced in Phys. Rev. B 98, 235155 (2018) 10.1103/PhysRevB …

Artificial neural networks have been recently introduced as a general ansatz to represent
many-body wave functions. In conjunction with variational Monte Carlo calculations, this …

We discuss a method of numerically identifying exact energy eigenstates for a finite system,
whose form can then be obtained analytically. We demonstrate our method by identifying …

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 …

We show how fermionic statistics can be naturally incorporated in tensor networks on
arbitrary graphs through the use of graded Hilbert spaces. This formalism allows the use of …

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

The excitation ansatz for tensor networks is a powerful tool for simulating the low-lying
quasiparticle excitations above ground states of strongly correlated quantum many-body …

We develop and benchmark a technique for simulating excitation spectra of generic two-
dimensional quantum lattice systems using the framework of projected entangled-pair states …

Numerical treatment of two-dimensional strongly-correlated systems is both extremely
challenging and of fundamental importance. Infinite projected entangled-pair states (PEPS) …