Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 46, Issue 48, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/46/48/485101
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Funding
- US National Science Foundation [DMS-0806762, CMMI-1000337]
- Alexander von Humboldt Foundation
- US AFOSR [FA9550-12-1-0332]
- MICINN [FIS2008-04848]
- University of Athens
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We study the effects of management of the PT-symmetric part of the potential within the setting of Schrodinger 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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