Integrability of PT -symmetric dimers

J. Pickton, H. Susanto

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


The coupled discrete linear and Kerr nonlinear Schrödinger equations with gain and loss describing transport on dimers with parity-time (PT)-symmetric potentials are considered. The model is relevant among others to experiments in optical couplers and proposals on Bose-Einstein condensates in PT-symmetric double-well potentials. It is known that the models are integrable. Here, the integrability is exploited further to construct the phase portraits of the system. A pendulum equation with a linear potential and a constant force for the phase difference between the fields is obtained, which explains the presence of unbounded solutions above a critical threshold parameter. The behavior of all solutions of the system, including changes in the topological structure of the phase plane, is then discussed.

Original languageBritish English
Article number063840
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number6
StatePublished - 23 Dec 2013


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