Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 46, Issue 37, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/46/37/375304
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Funding
- US National Science Foundation [NSF-DMS-0806762, NSF-CMMI-1000337]
- US AFOSR [FA9550-12-1-0332]
- Binational Science Foundation [2010239]
- Alexander von Humboldt Foundation
- German Research Foundation (DFG) [KI 482/14-1]
- Special Research Account of the University of Athens
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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 symmetry-breaking 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-the-art for optical experiments in PT-symmetric trimers, as well as experimental results in a gain-loss-gain three channel waveguide structure.
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