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 …

Quantum impurity models describe an atom or molecule embedded in a host material with
which it can exchange electrons. They are basic to nanoscience as representations of …

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 …

We generalize the recently developed diagrammatic Monte Carlo techniques for quantum
impurity models from an imaginary time to a Keldysh formalism suitable for real-time and …

One of the main open problems in the field of transport in strongly interacting nanostructures
is the understanding of currents beyond the linear response regime. In this work, we …

We present a brief pedagogical review of theoretical Green's function methods applicable to
open quantum systems out of equilibrium, in general, and single molecule junctions, in …

We propose a numerically exact approach to nonequilibrium real-time dynamics that is
applicable to quantum impurity models coupled to biased noninteracting leads, such as …

We review recent developments regarding the quantum dynamics and many-body physics
with light, in superconducting circuits and Josephson analogues, by analogy with atomic …

In this paper, we present a non-equilibrium quantum theory for transient electron dynamics
in nanodevices based on the Feynman–Vernon influence functional. Applying the exact …

We present optimized implementations of the weak-coupling continuous-time Monte Carlo
method defined for nonequilibrium problems on the Keldysh contour. We describe and …