Hybrid Breathers in Nonlinear $\mathcal{P}\mathcal{T}$-Symmetric Metamaterials

Abstract

On a two-dimensional planar parity-time-($\mathcal{P}\mathcal{T}$-)symmetric nonlinear magnetic metamaterial, consisting of split-ring dimers with balanced gain and loss, discrete breather solutions can be found. We extend these studies and by numerical calculations reveal the existence of further stable, long-lived oscillations, with certain frequencies, in the breather spectrum. We describe these oscillations in terms of an analytical breather theory, and show that they can be interpreted as superpositions of a breather oscillation and a plane wave. We coin the term `hybrid breather' solutions for these solutions.

extended explanations in the text, 7 pages, 5 figures

References in corpus (3)

• Gain-Driven Discrete Breathers in PT-Symmetric Nonlinear Metamaterials
• A spin chain model with non-Hermitian interaction: The Ising quantum spin chain in an imaginary field
• Nonlinear quantum dynamics in a PT-symmetric double well