PT-symmetry management in oligomer systems

• Main Authors: Horne, R. L., Cuevas, J., Kevrekidis, P. G., Whitaker, N., Abdullaev, Fatkhulla, Frantzeskakis, D. J.
• Format: Article
• Language: English
• Published: IOP Publishing 2013
• Subjects: QC Physics
• Online Access: http://irep.iium.edu.my/33039/1/hckw13_jphysb_PT_oligom.pdf; http://irep.iium.edu.my/33039/; http://iopscience.iop.org/1751-8121/46/48/485101

We study the effects of management of the PT-symmetric part of the potential within the setting of Schr¨odinger dimer and trimer oligomer systems. This is done by rapidly modulating in time the gain/loss profile. This gives rise to a number of interesting properties of the system, which are explored at the level of an averaged equation approach. Remarkably, this rapid modulation provides for a controllable expansion of the region of exact PT-symmetry, depending on the strength and frequency of the imposed modulation. The resulting averaged models are analysed theoretically and their exact stationary solutions are translated into time-periodic solutions through the averaging reduction. These are, in turn, compared with the exact periodic solutions of the full non-autonomous PT-symmetry managed problem and very good agreement is found between the two.