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 technologies represent a rapidly evolving field in which the specific properties of
quantum mechanical systems are exploited to enhance the performance of various …

We study a disordered ensemble of quantum emitters collectively coupled to a lossless
cavity mode. The latter is found to modify the localization properties of the “dark” eigenstates …

In recent years, the physics community has experienced a revival of interest in spin effects in
solid state systems. On one hand, the solid state systems, particularly, semiconductors and …

Decoherence of electron spins in nanoscale systems is important to quantum technologies
such as quantum information processing and magnetometry. It is also an ideal model …

Strong measurements usually restrict the dynamics of measured finite dimensional systems
to the Zeno subspace, where subsequent evolution is unitary due to the suppression of …

We review recent theoretical and experimental advances toward understanding the effects
of nuclear spins in confined nanostructures. These systems, which include quantum dots …

We show how to recover complete positivity (and hence positivity) of the Redfield equation
via a coarse-grained averaging technique. We derive general bounds for the coarse …

Central spin systems, in which a central spin is singled out and interacts nonlocally with
several bath spins, are paradigmatic models for nitrogen-vacancy centers and quantum …

We solve the long-standing central spin problem for a general set of inhomogeneous bath
couplings and a large class of initial bath states. We compute the time evolution of the …