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 …

Non-Hermitian systems have attracted much interest in recent decades, driven partly by the
existence of exotic spectral singularities, known as exceptional points (EPs), where the …

We study the dynamics of a driven non-Hermitian superconducting qubit which is perturbed
by quantum jumps between energy levels, a purely quantum effect with no classical …

Exceptional points are the branch-point singularities of non-Hermitian Hamiltonians and
have rich consequences in open-system dynamics. While the exceptional points and their …

Open quantum systems interacting with an environment exhibit dynamics described by the
combination of dissipation and coherent Hamiltonian evolution. Taken together, these …

Nontrivial spectral properties of non-Hermitian systems can lead to intriguing effects with no
counterparts in Hermitian systems. For instance, in a two-mode photonic system, by …

The non-Hermitian skin effect, ie, eigenstate condensation at the edges in lattices with open
boundaries, is an exotic manifestation of non-Hermitian systems. In Bloch theory, an …

Monitored quantum many-body systems display a rich pattern of entanglement dynamics,
which is unique to this nonunitary setting. This work studies the effect of quantum jumps on …

We propose a scheme to simultaneously achieve nonreciprocal conventional photon
blockade (NCPB) and unconventional photon blockade (NUPB) in a spinning resonator …

We propose a heralded protocol for implementing nontrivial quantum gates on two
stationary qubits coupled to spatially separated cavities. By dynamically controlling the …