1. Effects of parity-time symmetry in nonlinear Klein-Gordon models and their stationary kinks.
- Author
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Demirkaya, A., Frantzeskakis, D. J., Kevrekidis, P. G., Saxena, A., and Stefanov, A.
- Subjects
- *
ANTISYMMETRIC state (Quantum mechanics) , *STATIONARY states (Quantum mechanics) , *QUANTUM states , *SOLITONS , *CONTINUOUS spectrum (Atomic spectrum) - Abstract
In this work, we introduce some basic principles of "PT-symmetric Klein-Gordon nonlinear field theories. By formulating a particular antisymmetric gain and loss profile, we illustrate that the stationary states of the model do not change. However, the stability critically depends on the gain and loss profile. For a symmetrically placed solitary wave (in either the continuum model or a discrete analog of the nonlinear Klein-Gordon type), there is no effect on the steady state spectrum. However, for asymmetrically placed solutions, there exists a measurable effect of which a perturbative mathematical characterization is offered. It is generally found that asymmetry towards the lossy side leads towards stability, while towards the gain side produces instability. Furthermore, a host of finite size effects, which disappear in the infinite domain limit, are illustrated in connection to the continuous spectrum of the problem. [ABSTRACT FROM AUTHOR]
- Published
- 2013
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