A conceptual framework extending (time-independent) PT-symmetric quantum mechanics into the time-dependent domain is presented. It is built upon a nontrivial time-dependent …
A non-Hermitian operator may serve as the Hamiltonian for a unitary quantum system, if we can modify the Hilbert space of state vectors of the system so that it turns into a Hermitian …
A Fring - Journal of Physics: Conference Series, 2023 - iopscience.iop.org
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 find a different effect for the behavior of von Neumann entropy. For this we derive the framework for describing von Neumann entropy in non-Hermitian quantum systems 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 …
A Fring, T Taira, R Tenney - Journal of Physics A: Mathematical …, 2023 - iopscience.iop.org
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 …
FS Luiz, MA de Ponte, MHY Moussa - Physica Scripta, 2020 - iopscience.iop.org
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 …
J Cen, A Fring, T Frith - Journal of Physics A: Mathematical and …, 2019 - iopscience.iop.org
We propose time-dependent Darboux (supersymmetric) transformations that provide a scheme for the calculation of explicitly time-dependent solvable non-Hermitian partner …
T Frith - Journal of Physics A: Mathematical and Theoretical, 2020 - iopscience.iop.org
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 …