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 …

Open quantum systems (OQSs) cannot always be described with the Markov approximation,
which requires a large separation of system and environment time scales. An overview is …

Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

The simulations of spectroscopy and quantum dynamics are of vital importance to the
understanding of the electronic processes in complex systems, including the …

Chain-map** techniques in combination with the time-dependent density matrix
renormalization group are a powerful tool for the simulation of open-system quantum …

We study the dynamics of chiral quantum networks consisting of nodes coupled by
unidirectional or asymmetric bidirectional quantum channels. In contrast to familiar photonic …

We exploit the properties of chain map** transformations of bosonic environments to
identify a finite collection of modes able to capture the characteristic features, or fingerprint …

The MPSDynamics. jl package provides an easy-to-use interface for performing open
quantum systems simulations at zero and finite temperatures. The package has been …

A method for the systematic construction of few-body damped harmonic oscillator networks
accurately reproducing the effect of general bosonic environments in open quantum systems …

We describe two developments of tensor network influence functionals [in particular,
influence functional matrix product states (IF-MPS)] for quantum impurity dynamics within the …