PT-symmetry management in oligomer systems

Horne, R. L. and Cuevas, J. and Kevrekidis, P. G. and Whitaker, N. and Abdullaev, Fatkhulla and Frantzeskakis, D. J. (2013) PT-symmetry management in oligomer systems. Journal of Physics A: Mathematical and General, 46. 485101(1)-485101(19). ISSN 1751-8113

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	7021/33039
Uncontrolled Keywords:	Mathematical physics Particle physics and field theory Quantum information and quantum mechanics
Subjects:	Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science
Depositing User:	Prof Fatkhulla Abdullaev
Date Deposited:	04 Dec 2013 09:19
Last Modified:	04 Dec 2013 09:19
URI:	http://irep.iium.edu.my/id/eprint/33039

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