Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …

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 …

Recent improvements in the control of quantum systems make it seem feasible to finally
build a quantum computer within a decade. While it has been shown that such a quantum …

In the 0+ 1-dimensional imaginary-time path integral formulation of quantum impurity
problems, the retarded action encodes the hybridization of the impurity with the bath. In this …

In this work, we present and analyze two tensor network-based influence functional
approaches for simulating the real-time dynamics of quantum impurity models such as the …

Spectral functions of non-Hermitian Hamiltonians can reveal the existence of topologically
nontrivial line gaps and the associated topological edge modes. However, the computation …

The time-evolving matrix product operators (TEMPO) method, which makes full use of the
Feynman-Vernon influence functional, is the state-of-the-art tensor network method for …

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 …

We present an infinite Grassmann time-evolving matrix product operator method for
quantum impurity problems, which directly works in the steady state. The method embraces …

We describe an efficient numerical approach to calculate the longitudinal and transverse
Kubo conductivities of large systems using Bastin's formulation. We expand the Green's …