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Updated: Mar 8, 2026

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-flip and oscillation-quenching-state transitions through environmental diffusive coupling.

Amit Sharma¹, Umesh Kumar Verma², Manish Dev Shrimali²

¹The Institute of Mathematical Science, CIT Campus, Taramani, Chennai 600113, India.

Physical Review. E

|January 14, 2017

Summary

We investigated nonlinear oscillators with diffusive coupling, revealing transitions like phase-flips and oscillation quenching. These findings were confirmed using Stuart-Landau and van der Pol oscillator models and electronic experiments.

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Area of Science:

Nonlinear Dynamics
Complex Systems
Coupled Oscillators

Background:

Coupled oscillators are fundamental in various scientific fields.
Environmental diffusive coupling offers a unique interaction mechanism.
Understanding transitions in coupled systems is crucial for predicting behavior.

Purpose of the Study:

To investigate the dynamics of nonlinear oscillators coupled via environmental diffusion.
To identify and analyze transitions induced by this coupling scheme.
To validate findings through analytical, numerical, and experimental methods.

Main Methods:

Analytical and numerical studies in the parameter plane.
Analysis of Stuart-Landau and van der Pol oscillator models.
Experimental validation using electronic van der Pol oscillators.

Main Results:

Identical limit-cycle oscillators exhibit phase-flip transitions.
Oscillation quenching states are induced by diffusive coupling.
Experimental evidence confirms theoretical predictions.

Conclusions:

Environmental diffusive coupling can drive significant dynamical transitions in nonlinear oscillators.
The findings provide insights into the behavior of coupled systems in common environments.
This study bridges theoretical models with experimental observations in oscillator dynamics.