PT-symmetry management in oligomer systems
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 explore...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/33039/ http://irep.iium.edu.my/33039/ http://irep.iium.edu.my/33039/ http://irep.iium.edu.my/33039/1/hckw13_jphysb_PT_oligom.pdf |
| Summary: | 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. |
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