Controllable chaotic dynamics in a nonlinear fiber ring resonators with balanced gain and loss

TL;DR

This paper demonstrates how to control chaotic dynamics in a nonlinear fiber ring resonator system with balanced gain and loss, using a model based on parity-time symmetric structures, revealing tunable chaotic behavior and dynamical properties.

Contribution

It introduces a controllable method for chaotic dynamics in fiber ring resonators with balanced gain and loss, based on a modified parity-time symmetric structure.

Findings

System exhibits controllable chaotic dynamics.

Period doubling depends on input amplitude.

Resonator acts as a damped harmonic oscillator.

Abstract

We show the possibility of controlling the dynamical behavior of a single fiber ring (SFR) resonator system with the fiber being an amplified (gain) channel and the ring being attenuated (loss) nonlinear dielectric medium. Our model is based on the simple alterations in the parity time symmetric synthetic coupler structures proposed recently [A. Regensburger et al., Nature 488, 167 (2012)]. The system has been modeled using the transfer matrix formalism. We find that this results in a dynamically controllable algorithm for the chaotic dynamics inherent in the system. We have also shown the dependence of the period doubling point on the input amplitude, emphasizing on the dynamical aspects. Moreover, the fact that the resonator essentially plays the role of a damped harmonic oscillator has been elucidated with the non-zero intensity inside the resonator due to constant influx of input light.