Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

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 …

Matrix-product states have become the de facto standard for the representation of one-
dimensional quantum many body states. During the last few years, numerous new methods …

block2 is an open source framework to implement and perform density matrix
renormalization group and matrix product state algorithms. Out-of-the-box it supports the …

Classical hydrodynamics is a remarkably versatile description of the coarse-grained
behaviour of many-particle systems once local equilibrium has been established. The form …

We develop in full detail the formalism of tangent states to the manifold of matrix product
states, and show how they naturally appear in studying time evolution, excitations, and …

We study the expansion of single-particle and two-particle imaginary-time Matsubara
Green's functions of quantum impurity models in the basis of Legendre orthogonal …

We introduce a method “DMT” for approximating density operators of 1D systems that, when
combined with a standard framework for time evolution (TEBD), makes possible simulation …

In physics, it is sometimes desirable to compute the so-called density of states (DOS), also
known as the spectral density, of a real symmetric matrix A. The spectral density can be …

We present a tensor network especially suited for multi-orbital Anderson impurity models
and as an impurity solver for multi-orbital dynamical mean-field theory (DMFT). The solver …