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Integrability of PT -symmetric dimers

Pickton, J and Susanto, H (2013) 'Integrability of PT -symmetric dimers.' Physical Review A - Atomic, Molecular, and Optical Physics, 88 (6). ISSN 1050-2947

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Abstract

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. © 2013 American Physical Society.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Jim Jamieson
Date Deposited: 12 Nov 2014 19:30
Last Modified: 30 Jan 2019 16:18
URI: http://repository.essex.ac.uk/id/eprint/11550

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