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 …

[HTML][HTML] Exactly solvable time-dependent non-Hermitian quantum systems from point transformations

A Fring, R Tenney - Physics Letters A, 2021 - Elsevier
We demonstrate that complex point transformations can be used to construct non-Hermitian
first integrals, time-dependent Dyson maps and metric operators for non-Hermitian quantum …

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 …

Generalized Gauge Transformation with PT PT‐Symmetric Non‐Unitary Operator and Classical Correspondence of Non‐Hermitian Hamiltonian for a Periodically …

Y Gu, XL Hao, JQ Liang - Annalen der Physik, 2022 - Wiley Online Library
This paper demonstrates that the parity‐time (PT PT)‐symmetric non‐Hermitian Hamiltonian
for a periodically driven system can be generated from a kernel Hamiltonian by a …

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 …

[HTML][HTML] PT-symmetric non-Hermitian Hamiltonian and invariant operator in periodically driven SU (1, 1) system

Y Gu, XM Bai, XL Hao, JQ Liang - Results in Physics, 2022 - Elsevier
We study in this paper the time evolution of P T-symmetric non-Hermitian Hamiltonian
consisting of periodically driven SU (1, 1) generators. A non-Hermitian invariant operator is …

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 …

[HTML][HTML] Spectrally equivalent time-dependent double wells and unstable anharmonic oscillators

A Fring, R Tenney - Physics Letters A, 2020 - Elsevier
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 …