{\mathcal {PT}}-symmetric dimers with time-periodic gain/loss function
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.
- Publication:
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Applied Physics A: Materials Science & Processing
- Pub Date:
- November 2014
- DOI:
- 10.1007/s00339-014-8720-9
- arXiv:
- arXiv:1406.0272
- Bibcode:
- 2014ApPhA.117..663P
- Keywords:
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- Condensed Matter - Other Condensed Matter
- E-Print:
- 9 pages, 9 figures, META14 Conference, subm. Special Issue Appl. Phys. A