228 citations · 2.2k across the 42 of their papers we have counts for
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Random matrix ensembles for -symmetric systems
Eva-Maria Graefe, Steve Mudute-Ndumbe, Matthew Taylor
Recently much effort has been made towards the introduction of non-Hermitian random matrix models respecting -symmetry. Here we show that there is a one-to-one correspondence b…
Complexified coherent states and quantum evolution with non-Hermitian Hamiltonians
Eva-Maria Graefe, Roman Schubert
The complex geometry underlying the Schrödinger dynamics of coherent states for non-Hermitian Hamiltonians is investigated. In particular two seemingly contradictory approaches are…
Coquaternionic quantum dynamics for two-level systems
Dorje C. Brody, Eva-Maria Graefe
The dynamical aspects of a spin-1/2 particle in Hermitian coquaternionic quantum theory is investigated. It is shown that the time evolution exhibits three different characteristic…
On complexified mechanics and coquaternions
Dorje C Brody, Eva-Maria Graefe
While real Hamiltonian mechanics and Hermitian quantum mechanics can both be cast in the framework of complex canonical equations, their complex generalisations have hitherto been…
A non-Hermitian symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
E. M. Graefe, U. Guenther, H. J. Korsch +1
We study a non-Hermitian symmetric generalization of an -particle, two-mode Bose-Hubbard system, modeling for example a Bose-Einstein condensate in a double well potential…