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 …

Utilizing exact diagonalization techniques, we investigate a one-dimensional, nonreciprocal,
interacting hard-core boson model under a Stark potential with tail curvature. By employing …

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 …

In the past years, many efforts have been made to study various noteworthy phenomena in
both parity-time (PT) and anti-parity-time (APT) symmetric systems. However, entanglement …

In a consistent quantum theory known as “non-Hermitian interaction picture”(NIP), the
standard quantum Coriolis operator Σ (t) emerges whenever the observables of a unitary …

Exceptional points (EPs) of both eigenvalue and eigenvector degeneracy offer remarkable
properties of the non-Hermitian systems based on the Jordanian form of Hamiltonians at …

To the existing list of alternative formulations of quantum mechanics, a new version of the
non-Hermitian interaction picture is added. What is new is that, in contrast to the more …

In Schrödinger picture the unitarity of evolution is usually guaranteed by the Hermiticity of
the Hamiltonian operator h= h† in a conventional Hilbert space H textboo k. After a Dyson …

Noether's theorem is one of the fundamental laws in physics, relating the symmetry of a
physical system to its constant of motion and conservation law. On the other hand, there …

In the framework of quantum mechanics using quasi-Hermitian operators the standard
unitary evolution of a non-stationary but still closed quantum system is only properly …