I will provide a pedagogical introduction to non-Hermitian quantum systems that are PT-
symmetric, that is they are left invariant under a simultaneous parity transformation (P) and …

We investigate the dynamics of a general two-level based anti-parity-time (anti-PT)-
symmetric qubit and study its decoherence as well as entanglement entropy properties. We …

We demonstrate that the existence of a Hermitian time-dependent intertwining operator that
maps the non-Hermitian time-dependent energy operator to its Hermitian conjugate and its …

We present an strategy for the derivation of a time-dependent Dyson map which ensures
simultaneously the unitarity of the time evolution and the observability of the whole time …

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 …

We provide the first solution of a time-dependent metric operator for the non-Hermitian
Jaynes–Cummings Hamiltonian. We use this solution to calculate the entanglement …

We construct a time-dependent double well potential as an exact spectral equivalent to the
explicitly time-dependent negative quartic oscillator with a time-dependent mass term …

The time-evolution operator obtained from the fractional-time Schrödinger equation (FTSE)
is said to be nonunitary since it does not preserve the norm of the vector state in time. As …

We analyse here the pseudo-Hermitian Dynamical Casimir Effect, proposing a non-
Hermitian version of the effective Law's Hamiltonian used to describe the phenomenon. We …

We provide a time-dependent Dyson map and metric for the two-dimensional harmonic
oscillator with a non-Hermitian ixy coupling term. This particular time-independent model …