Quantum metric unveils defect freezing in non-Hermitian systems

K Sim, N Defenu, P Molignini, R Chitra - Physical Review Letters, 2023 - APS
Non-Hermiticity in quantum Hamiltonians leads to nonunitary time evolution and possibly
complex energy eigenvalues, which can lead to a rich phenomenology with no Hermitian …

Time-dependent -symmetric quantum mechanics in generic non-Hermitian systems

DJ Zhang, Q Wang, J Gong - Physical Review A, 2019 - APS
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 …

Energy observable for a quantum system with a dynamical Hilbert space and a global geometric extension of quantum theory

A Mostafazadeh - Physical Review D, 2018 - APS
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 …

An introduction to PT-symmetric quantum mechanics-time-dependent systems

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 …

Eternal life of entropy in non-Hermitian quantum systems

A Fring, T Frith - Physical Review A, 2019 - APS
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 …

Anti--symmetric qubit: Decoherence and entanglement entropy

J Cen, A Saxena - Physical Review A, 2022 - APS
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 …

Real energies and Berry phases in all PT-regimes in time-dependent non-Hermitian theories

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 …

Unitarity of the time-evolution and observability of non-Hermitian Hamiltonians for time-dependent Dyson maps

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 …

Time-dependent Darboux (supersymmetric) transformations for non-Hermitian quantum systems

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 …

Exotic entanglement for non-Hermitian Jaynes–Cummings Hamiltonians

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 …