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 |
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IOP Publishing
2013
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| Online Access: | http://irep.iium.edu.my/33039/ http://irep.iium.edu.my/33039/1/hckw13_jphysb_PT_oligom.pdf |
| _version_ | 1848780674460286976 |
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| author | Horne, R. L. Cuevas, J. Kevrekidis, P. G. Whitaker, N. Abdullaev, Fatkhulla Frantzeskakis, D. J. |
| author_facet | Horne, R. L. Cuevas, J. Kevrekidis, P. G. Whitaker, N. Abdullaev, Fatkhulla Frantzeskakis, D. J. |
| author_sort | Horne, R. L. |
| building | IIUM Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T15:37:25Z |
| format | Article |
| id | iium-33039 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:37:25Z |
| publishDate | 2013 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-330392013-12-04T01:19:18Z http://irep.iium.edu.my/33039/ PT-symmetry management in oligomer systems Horne, R. L. Cuevas, J. Kevrekidis, P. G. Whitaker, N. Abdullaev, Fatkhulla Frantzeskakis, D. J. QC Physics 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. IOP Publishing 2013-11-19 Article PeerReviewed application/pdf en http://irep.iium.edu.my/33039/1/hckw13_jphysb_PT_oligom.pdf 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 http://iopscience.iop.org/1751-8121/46/48/485101 10.1088/1751-8113/46/48/485101 |
| spellingShingle | QC Physics Horne, R. L. Cuevas, J. Kevrekidis, P. G. Whitaker, N. Abdullaev, Fatkhulla Frantzeskakis, D. J. PT-symmetry management in oligomer systems |
| title | PT-symmetry management in oligomer systems |
| title_full | PT-symmetry management in oligomer systems |
| title_fullStr | PT-symmetry management in oligomer systems |
| title_full_unstemmed | PT-symmetry management in oligomer systems |
| title_short | PT-symmetry management in oligomer systems |
| title_sort | pt-symmetry management in oligomer systems |
| topic | QC Physics |
| url | 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 |