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$${\mathcal {PT}}$$ -symmetric dimers with time-periodic gain/loss function.
- Source :
-
Applied Physics A: Materials Science & Processing . Nov2014, Vol. 117 Issue 2, p663-672. 10p. - Publication Year :
- 2014
-
Abstract
- $${\mathcal {PT}}$$ -symmetric dimers with a time-periodic gain/loss function in a balanced configuration where the amount of gain equals that of loss are investigated analytically and numerically. Two prototypical dimers in the linear regime are investigated: a system of coupled classical oscillators, and a Schrödinger dimer representing the coupling of field amplitudes, each system representing a wide class of physical models. Through a thorough analysis of their stability behavior, we find that turning on the coupling parameter in the classical dimer system leads initially to decreased stability but then to re-entrant transitions from the exact to the broken $${\mathcal {PT}}$$ -phase and vice versa, as it is increased beyond a critical value. On the other hand, the Schrödinger dimer behaves more like a single oscillator with time-periodic gain/loss. In addition, we are able to identify the conditions under which the behavior of the two dimer systems coincides and/or reduces to that of a single oscillator. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09478396
- Volume :
- 117
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Applied Physics A: Materials Science & Processing
- Publication Type :
- Academic Journal
- Accession number :
- 98742026
- Full Text :
- https://doi.org/10.1007/s00339-014-8720-9