Title: Revisiting the PT -symmetric trimer: Bifurcations, ghost states and associated dynamics
Authors: Li, Kai
Kevrekidis, Panayotis G.
Frantzeskakis, Dimitri J.
Rüter, Christian E. 
Kip, Detlef  
Language: en
Subject (DDC): DDC::500 Naturwissenschaften und Mathematik
Issue Date: Sep-2013
Publisher: IOP Publ.
Document Type: Article
Journal / Series / Working Paper (HSU): Journal of physics : concerned with the fundamental mathematical and computational methods underpinning physics, the journal is particularly relevant to statistical physics, chaotic and complex systems, classical and quantum mechanics and classical and quantum field theory. A, Mathematical and theoretical 
Volume: 46
Pages: 12 S.
Publisher Place: Bristol
Abstract: 
In this paper, we revisit one of the prototypical PT -symmetric oligomers, namely the trimer. We find all the relevant branches of regular solutions and analyze the bifurcations and instabilities thereof. Our work generalizes the formulation that was recently proposed in the case of dimers for the so-called ghost states of trimers, which we also identify and connect to symmetrybreaking bifurcations from the regular states. We also examine the dynamics of unstable trimers, as well as those of the ghost states in the parametric regime where the latter are found to exist. Finally, we present the current state-of-theart for optical experiments in PT -symmetric trimers, as well as experimental results in a gainlossgain three channel waveguide structure. © 2013 IOP Publishing Ltd.
Organization Units (connected with the publication): Experimentalphysik und Materialwissenschaften 
URL: https://api.elsevier.com/content/abstract/scopus_id/84883866680
ISSN: 17518113
DOI: 10.1088/1751-8113/46/37/375304
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