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 information processing relies on the precise control of non-classical states in the
presence of many uncontrolled environmental degrees of freedom. The interactions …

Recent years have seen remarkable development in open quantum systems effectively
described by non-Hermitian Hamiltonians. A unique feature of non-Hermitian topological …

Exceptional points are spectral singularities in open quantum and wave systems that exhibit
a strong spectral response to perturbations. This feature can be exploited for a new …

It is generally assumed that a Hamiltonian for a physically acceptable quantum system (one
that has a positive-definite spectrum and obeys the requirement of unitarity) must be …

Exceptional points (EPs) correspond to degeneracies of open systems. These are attracting
much interest in optics, optoelectronics, plasmonics, and condensed matter physics. In the …

Engineering light-matter interactions using non-Hermiticity, particularly through spectral
degeneracies known as exceptional points (EPs), is an emerging field with potential …

A quantum thermal machine is an open quantum system coupled to hot and cold thermal
baths. Thus, its dynamics can be well understood using the concepts and tools from non …

Exceptional points (EPs) of a non-Hermitian Hamiltonian with parity-time-reversal (PT)
symmetry have the potential to drastically enhance the capabilities of metrology and sensing …

Any system of coupled oscillators may be characterized by its spectrum of resonance
frequencies (or eigenfrequencies), which can be tuned by varying the system's parameters …