Kirillov, Oleg (2012) PT-symmetry, indefinite damping and dissipation-induced instabilities. Physics Letters A, 376 (15). pp. 1244-1249. ISSN 0375-9601
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Abstract
With perfectly balanced gain and loss, dynamical systems with indefinite damping can obey the exact PT-symmetry being marginally stable with a pure imaginary spectrum. At an exceptional point where the symmetry is spontaneously broken, the stability is lost via passing through a non-semi-simple 1:1 resonance. In the parameter space of a general dissipative system, marginally stable PT-symmetric ones occupy singularities on the boundary of the asymptotic stability. To observe how the singular surface governs dissipation-induced destabilization of the PT-symmetric system when gain and loss are not matched, an extension of recent experiments with PTPT-symmetric LRC circuits is proposed.
| Item Type: | Article |
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| Subjects: | F300 Physics G100 Mathematics |
| Department: | Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering |
| Depositing User: | Oleg Kirillov |
| Date Deposited: | 10 Jan 2017 11:38 |
| Last Modified: | 01 Aug 2021 01:32 |
| URI: | http://nrl.northumbria.ac.uk/id/eprint/29041 |
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