A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

The study of nonequilibrium phenomena in correlated lattice systems has developed into
one of the most active and exciting branches of condensed matter physics. This research …

We use tensor network techniques to obtain high-order perturbative diagrammatic
expansions for the quantum many-body problem at very high precision. The approach is …

Current nonequilibrium Monte Carlo methods suffer from a dynamical sign problem that
makes simulating real-time dynamics for long times exponentially hard. We propose a new …

We introduce an efficient method to simulate the dynamics of an interacting quantum
impurity coupled to noninteracting fermionic reservoirs. Viewing the impurity as an open …

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 …

In this paper, we propose two quantum optomechanical arrangements that permit the
dissipation-enabled generation of steady two-mode mechanical squeezed states. In the first …

Describing a quantum impurity coupled to one or more noninteracting fermionic reservoirs is
a paradigmatic problem in quantum many-body physics. While historically the focus has …

We present a numerically exact steady-state inchworm Monte Carlo method for
nonequilibrium quantum impurity models. Rather than propagating an initial state to long …

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 …