We present a compendium of numerical simulation techniques, based on tensor network
methods, aiming to address problems of many-body quantum mechanics on a classical …

Nonequilibrium properties of quantum materials present many intriguing properties, among
them athermal behavior, which violates the eigenstate thermalization hypothesis. Such …

Circuit quantum electrodynamics is one of the most promising platforms for efficient quantum
simulation and computation. In recent groundbreaking experiments, the immense flexibility …

We investigate tree tensor network states for quantum chemistry. Tree tensor network states
represent one of the simplest generalizations of matrix product states and the density matrix …

We present how to compute vibrational eigenstates with tree tensor network states (TTNSs),
the underlying ansatz behind the multilayer multiconfiguration time-dependent Hartree (ML …

The hierarchical equations of motion (HEOM) method is a numerically exact open quantum
system dynamics approach. The method is rooted in an exponential expansion of the bath …

The tree tensor network (TTN) provides an essential theoretical framework for the practical
simulation of quantum many-body systems, where the network structure defined by the …

Interactions in natural communities can be highly heterogeneous, with any given species
interacting appreciably with only some of the others, a situation commonly represented by …

The multilayer multiconfiguration time-dependent Hartree (ML-MCTDH) method and the
density matrix renormalisation group (DMRG) are powerful workhorses applied mostly in …

There are few exactly solvable lattice models and even fewer solvable quantum lattice
models. Here we address the problem of finding the spectrum of the tight-binding model …