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quant-ph2020

Exotic entanglement for non-Hermitian Jaynes-Cummings Hamiltonians

Thomas Frith

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 between two…

quant-ph2020

Time-dependence in non-Hermitian quantum systems

Thomas Frith

We present a coherent and consistent framework for explicit time-dependence in non-Hermitian quantum mechanics. The area of non-Hermitian quantum mechanics has been growing rapidly…

quant-ph2019

Eternal life of entropy in non-Hermitian quantum systems

Andreas Fring, Thomas Frith

We find a new effect for the behaviour of Von Neumann entropy. For this we derive the framework for describing Von Neumann entropy in non-Hermitian quantum systems and then apply i…

quant-ph2018

Time-dependent metric for the two dimensional, non-Hermitian coupled oscillator

Andreas Fring, Thomas Frith

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

quant-ph2018

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

Julia Cen, Andreas Fring, Thomas Frith

We propose time-dependent Darboux (supersymmetric) transformations that provide a scheme for the calculation of explicitly time-dependent solvable non-Hermitian partner Hamiltonian…

quant-ph2018

Quasi-exactly solvable quantum systems with explicitly time-dependent Hamiltonians

Andreas Fring, Thomas Frith

For a large class of time-dependent non-Hermitain Hamiltonians expressed in terms linear and bilinear combinations of the generators for an Euclidean Lie-algebra respecting differe…