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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.
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.
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