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arXiv · 1308.3738

PT-symmetry Management in Oligomer Systems

R. L. Horne·J. Cuevas·P. G. Kevrekidis·N. Whitaker·F. Kh. Abdullaev·D. J. Frantzeskakis
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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 analyzed 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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R. L. Horne, J. Cuevas, P. G. Kevrekidis, N. Whitaker, F. Kh. Abdullaev, D. J. Frantzeskakis. 2013-08-16. PT-symmetry Management in Oligomer Systems. https://doi.org/10.1088/1751-8113%2F46%2F48%2F485101

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