Symmetry breaking in binary chain with nonlinear sites

TL;DR

This paper investigates how cubic nonlinearity in coupled binary chain waveguides can cause symmetry breaking, leading to nonmonochromatic emissions and complex stability behaviors in the system.

Contribution

It introduces the analysis of symmetry breaking phenomena in nonlinear binary chain waveguides with two or four nonlinear sites, revealing unique stability and emission properties.

Findings

Symmetry breaking occurs due to cubic nonlinearity.

Existence of a parameter domain with no stable stationary solutions.

Injection of symmetric waves results in nonmonochromatic satellite emissions.

Abstract

We consider a system of two or four nonlinear sites coupled with binary chain waveguides. When a monochromatic wave is injected into the first (symmetric) propagation channel the presence of cubic nonlinearity can lead to symmetry breaking giving rise to emission of antisymmetric wave into the second (antisymmetric) propagation channel of the waveguides. We found that in the case of nonlinear plaquette there is a domain in the parameter space where neither symmetry preserving nor symmetry breaking stable stationary solutions exit. As a result injection of a monochromatic symmetric wave gives rise to emission of nonsymmetric satellite waves with energies different from the energy of the incident wave. Thus, the response exhibits nonmonochromatic behavior.