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Related Experiment Video

Updated: May 12, 2026

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

Spontaneously walking discrete cavity solitons.

O A Egorov¹, F Lederer

¹Institute of Condensed Matter Theory and Solid State Optics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena, Jena, Germany. Oleg.Egorov@uni‑jena.de

|April 3, 2013

Summary

Oscillating discrete solitons in Kerr-nonlinear cavities exhibit robust, dynamic behaviors. They can lose symmetry, exhibit chaotic motion, or move at constant velocity across the array.

Area of Science:

Nonlinear optics
Condensed matter physics
Photonics

Background:

Discrete solitons in nonlinear systems are crucial for information processing.
Hopf instability can lead to dynamic behaviors in stationary solitons.

Purpose of the Study:

Investigate the dynamics of oscillating discrete solitons in coupled Kerr-nonlinear cavities.
Characterize their stability, symmetry breaking, and motion patterns.

Main Methods:

Numerical simulations of coupled Kerr-nonlinear cavity arrays.
Analysis of soliton stability and bifurcations.
Parameter space exploration for different dynamical regimes.

Main Results:

Oscillating discrete solitons emerge robustly from stationary ones via Hopf instability.

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Solitons exhibit spontaneous symmetry breaking, rocking motion, and chaotic hopping.

A parameter domain for constant velocity soliton propagation was identified.

Conclusions:

Oscillating discrete solitons display rich and complex dynamics, including chaotic and directed motion.
These findings are relevant for designing advanced optical devices and understanding nonlinear phenomena in discrete systems.