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A model of three coupled wave guides and third order exceptional points
W D Heiss, G Wunner
A -symmetric model for three interacting wave guides is investigated. Each wave guide is represented by an attractive -function potential being in equidistant positi…
Spectral singularities in PT-symmetric Bose-Einstein condensates
W. D. Heiss, H. Cartarius, G. Wunner +1
We consider the model of a PT-symmetric Bose-Einstein condensate in a delta-functions double-well potential. We demonstrate that analytic continuation of the primarily non-analytic…
The physics of exceptional points
W. D. Heiss
A short resume is given about the nature of exceptional points (EPs) followed by discussions about their ubiquitous occurrence in a great variety of physical problems. EPs feature…
Non-Hermitian Hamiltonians, Metric, Other Observables and Physical Implications
H. B. Geyer, W. D. Heiss, F. G. Scholtz
The metric associated with a quasi-Hermitian Hamiltonian and its physical implications are scrutinised. Consequences of the non-uniqueness such as the question of the probability i…
Instabilities, nonhermiticity and exceptional points in the cranking model
W. D. Heiss, R. G. Nazmitdinov
A cranking harmonic oscillator model, widely used for the physics of fast rotating nuclei and Bose-Einstein condensates, is re-investigated in the context of PT-symmetry. The insta…
Chirality of wave functions for three coalescing levels
W. D. Heiss
The coalescence of three levels has particular attractive features. Even though it may be difficult to realise such event in the laboratory (three additional real parameters must b…