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

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Controlling the effect of quantum fluctuations in a driven nonlinear parametric oscillator.

Somnath Roy¹, Chitrak Bhadra², Dhrubajyoti Biswas³

¹University of Engineering & Management, Institute of Engineering & Management, Kolkata 700091, India.

Physical Review. E

|September 16, 2025

Summary

High-frequency forcing modulates quantum fluctuations and oscillation amplitudes in a quantum nonlinear parametric oscillator. This study reveals how external driving impacts system dynamics, validated by numerical simulations.

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Area of Science:

Quantum mechanics
Nonlinear dynamics
Parametric oscillators

Background:

Quantum nonlinear parametric oscillators exhibit complex dynamics.
External forcing can significantly alter quantum system behavior.

Purpose of the Study:

Investigate the interplay between high-frequency external forcing and quantum oscillator dynamics.
Analyze the modulation of quantum fluctuations and oscillation amplitudes.
Explore the influence of driving strength on system behavior.

Main Methods:

Derivation of classical equations of motion for quantum operator averages.
Application of truncation schemes and the Blekhman perturbation method.
Validation through numerical simulations.

Main Results:

High-frequency external forcing modulates quantum fluctuations and oscillation amplitudes within the parametric resonance zone.
The strength of driving systematically influences the overall system dynamics.
Theoretical predictions are confirmed by numerical results.

Conclusions:

The developed framework reliably describes the dynamics of a forced quantum nonlinear parametric oscillator.
Fast external periodic forcing offers a method for controlling quantum fluctuations and amplitudes.
Understanding this interplay is crucial for quantum control and device applications.