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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Phase slips in coupled oscillator systems.

Pragjyotish Bhuyan Gogoi¹, Suresh Kumarasamy², Awadhesh Prasad¹

¹Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India.

Physical Review. E

|August 16, 2023

Summary

Phase slips in coupled oscillator systems are explained by analyzing stationary points of phase velocities. This study provides a quantitative description, revealing that individual phase slips in networks generally do not occur simultaneously.

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Area of Science:

Nonlinear Dynamics
Complex Systems
Network Science

Background:

Phase slips are key events in coupled oscillator systems, marking transitions to phase synchrony.
Previous analyses often relied on identifying saddle-node remnants or 'ghosts' for phase slip characterization.

Purpose of the Study:

To provide a more precise, quantitative description of phase slip dynamics in coupled oscillator systems.
To investigate the underlying mechanisms of phase shifts and phase sticks.

Main Methods:

Detailed examination of the dynamics in sets of phase oscillators.
Analysis of phase velocities and their stationary points.
Study of various systems exhibiting phase synchrony, including those with and without saddle-node ghosts, similarity-dependent coupling, and coupled chaotic oscillators.

Main Results:

Phase shifts and phase sticks occur at stationary points of phase velocities.
In networks of coupled phase oscillators, individual phase slips typically do not happen simultaneously.
Demonstrated phase synchrony in diverse systems, including those lacking traditional saddle-node ghosts.

Conclusions:

The study offers a refined, quantitative understanding of phase slip phenomena in coupled oscillators.
Identified stationary points of phase velocities as critical for phase slip events.
Extended the analysis to diverse oscillator network configurations, highlighting the complexity of synchrony.