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 …

Recent progress on nonlinear properties of parity-time (PT)-symmetric systems is
comprehensively reviewed in this article. PT symmetry started out in non-Hermitian quantum …

The notion of non-Hermitian optics and photonics rooted in quantum mechanics and
photonic systems has recently attracted considerable attention ushering in tremendous …

The past 30 years have witnessed remarkable developments of microcavity exciton–
polaritons, which have made a great impact on photonics and optoelectronics from …

Canonical quantum mechanics postulates Hermitian Hamiltonians to ensure real
eigenvalues. Counterintuitively, a non-Hermitian Hamiltonian, satisfying combined parity …

Interferometric measurements of an optically trapped exciton-polariton condensate reveal a
regime where the condensate pseudo-spin precesses persistently within the driving optical …

We introduce a model based on the one-dimensional nonlinear Schrödinger equation with
critical (quintic) or supercritical self-focusing nonlinearity. We demonstrate that a family of …

We demonstrate a regime in which matter-wave condensates of exciton-polaritons trapped
in an elliptically shaped two-dimensional potential appear as a coherent mixture of ground …

We show that the lasing threshold for two coupled resonators (CRs) corresponds to lasing
without gain (LWG), a phenomenon analogous to lasing without inversion in atomic systems …

Interaction of asymmetric ϕ 6 kinks with a spatially localized PT-symmetric perturbation is
investigated numerically. It is shown that when the kink (antikink) hits the defect from the …