PT-symmetry, indefinite damping and dissipation-induced instabilities

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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Official URL: http://dx.doi.org/10.1016/j.physleta.2012.02.055

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
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics and Information Sciences
Depositing User: Oleg Kirillov
Date Deposited: 10 Jan 2017 11:38
Last Modified: 10 May 2017 08:07
URI: http://nrl.northumbria.ac.uk/id/eprint/29041

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