Dissipative Kerr solitons, breathers and chimera states in coherently driven passive cavities with parabolic potential

TL;DR

This paper investigates how a parabolic potential influences the stability and dynamics of dissipative Kerr solitons, revealing new structures like breathers and chimera states through modal analysis.

Contribution

It introduces the effect of a parabolic potential on DKS stability and uncovers new dissipative structures and their modal interactions.

Findings

Parabolic potential stabilizes static DKSs.

Emergence of asymmetric breathers and chimera-like states.

Modal decomposition reveals underlying interactions.

Abstract

We analyze the stability and dynamics of dissipative Kerr solitons in the presence of a parabolic potential. This potential stabilizes oscillatory and chaotic regimes, favoring the generation of static DKSs. Furthermore, the potential induces the emergence of new dissipative structures, such as asymmetric breathers and chimera-like states. Based on a mode decomposition of these states, we unveil the underlying modal interactions.