Effects of parity-time symmetry in nonlinear Klein-Gordon models and their stationary kinks

Academic Article

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. © 2013 American Physical Society.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Demirkaya A; Frantzeskakis DJ; Kevrekidis PG; Saxena A; Stefanov A
  • Volume

  • 88
  • Issue

  • 2