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 …

This review describes the emerging field of waveguide quantum electrodynamics concerned
with the interaction of photons propagating in a waveguide with localized quantum emitters …

Subradiant states in a finite chain of two-level quantum emitters coupled to a one-
dimensional reservoir are a resource for superior photon storage and their controlled …

Engineering arrays of active optical centers to control the interaction Hamiltonian between
light and matter has been the subject of intense research recently. Collective interaction of …

Bound states in the continuum (BICs) are localized modes residing in the radiation
continuum. They were first predicted for single-particle states, and became a general feature …

We reveal the emergence of quantum Hall phases, topological edge states, spectral Landau
levels, and Hofstadter butterfly spectra in the two-particle Hilbert space of an array of …

Waveguide quantum electrodynamics offers a wide range of possibilities to effectively
engineer interactions between artificial atoms via a one-dimensional open waveguide …

The scattering between light and individual saturable quantum emitters can induce strong
optical nonlinearities and correlations between individual light quanta. Typically, this leads …

We study theoretically the radiative lifetime of bound two-particle excitations in a waveguide
with an array of two-level atoms, realizing a one-dimensional Dicke-like model. Recently …

The rapid progress in quantum information processing leads to a rising demand for devices
to control the propagation of electromagnetic wave pulses and to ultimately realize universal …