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Related Experiment Video

Updated: Jan 9, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Published on: June 8, 2018

Coherence enhanced by detrained oscillators: Breaking π-reflection symmetry.

Hyunsuk Hong¹, Jae Sung Lee², Hyunggyu Park³

¹Department of Physics and Research Institute of Physics and Chemistry, Jeonbuk National University, Jeonju 54896, South Korea.

Chaos (Woodbury, N.Y.)

|December 1, 2025

Summary

We found a new dynamic mode in swarmalator systems that breaks symmetry, enhancing global coherence. This discovery offers insights into how dynamic oscillators can promote synchronization in coupled systems.

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Area of Science:

Complex systems
Nonlinear dynamics
Statistical physics

Background:

The Kuramoto model is a standard framework for studying synchronization in coupled oscillators.
Swarmalator systems, with coupled phase variables, represent a minimal model for collective behavior.

Purpose of the Study:

To investigate a generalized Kuramoto model with two coupled phase variables per oscillator.
To identify novel dynamic modes and their impact on global coherence and synchronization.

Main Methods:

Analytical derivation of system dynamics under perfect frequency correlation.
Numerical simulations to explore the phase diagram and transition behaviors.

Main Results:

Identification of a novel dynamic mode with bounded oscillatory motion.
Demonstration of π-reflection symmetry breaking leading to enhanced global coherence.
Observation of a non-trivial mixed state with distinct ordering in phase variables.

Conclusions:

Detrained (dynamic) oscillators can fundamentally promote global synchronization.
The findings offer broad insights into coupled dynamical systems beyond the classical Kuramoto paradigm.
Symmetry breaking is a key mechanism for achieving enhanced coherence in swarmalator systems.