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- W2326118840 abstract "In this work, we introduce some basic principles of $mathcal{PT}$-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." @default.
- W2326118840 created "2016-06-24" @default.
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- W2326118840 date "2013-08-12" @default.
- W2326118840 modified "2023-10-02" @default.
- W2326118840 title "Effects of parity-time symmetry in nonlinear Klein-Gordon models and their stationary kinks" @default.
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- W2326118840 doi "https://doi.org/10.1103/physreve.88.023203" @default.
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