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 …

The Jaynes–Cummings Model (JCM) has recently been receiving increased attention as
one of the simplest, yet intricately nonlinear, models of quantum physics. Emphasising the …

Quantum many-body systems subjected to unitary evolution with the addition of interspersed
measurements exhibit a variety of dynamical phases that do not occur under pure unitary …

We review the recent developments and the current status in the field of quantum-gas cavity
QED. Since the first experimental demonstration of atomic self-ordering in a system …

We introduce and explore a one-dimensional “hybrid” quantum circuit model consisting of
both unitary gates and projective measurements. While the unitary gates are drawn from a …

We construct Brownian Sachdev-Ye-Kitaev (SYK) chains subjected to continuous monitoring
and explore possible entanglement phase transitions therein. We analytically derive the …

We identify an unconventional algebraic scaling phase in the quantum dynamics of long-
range hop**, free fermions, which are exposed to continuous local measurements. The …

We investigate entanglement phase transitions from volume-law to area-law entanglement
in a quantum many-body state under continuous position measurement on the basis of the …

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

We report our realization of a parity–time (PT)-symmetric non-Hermitian many-body system
using cold atoms with dissipation. After develo** a theoretical framework on PT-symmetric …