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PT-symmetry management in oligomer systems


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Opened Access PT-symmetry management in oligomer systems
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Author: Horne, Rudy L.
Cuevas-Maraver, Jesús
Kevrekidis, Panayotis G.
Whitaker, Nathaniel
Abdullaev, Fatkhulla Kh.
Frantzeskakis, Dimitri J.
Department: Universidad de Sevilla. Departamento de Física Aplicada I
Date: 2013
Published in: Journal of Physics A: Mathematical and Theoretical, 46(48), 485101: 1-19
Document type: Article
Abstract: We study the effects of management of the PT-symmetric part of the potential within the setting of Schrödinger 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
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