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

TL;DR

This paper explores how high-frequency external forcing can modulate quantum fluctuations and oscillation amplitudes in a nonlinear quantum parametric oscillator, combining theoretical analysis with numerical validation.

Contribution

It introduces a novel framework for controlling quantum fluctuations in a driven nonlinear oscillator using external periodic forcing, validated by numerical simulations.

Findings

Quantum fluctuations can be modulated by external forcing.

Oscillation amplitudes are controllable within the resonance zone.

System dynamics depend systematically on driving strength.

Abstract

This study investigates the interplay between a high-frequency external forcing and the intrinsic dynamics of a quantum nonlinear parametric oscillator. To analyze this system, classical equations of motion of the averages of quantum operators are derived and solved by employing suitable truncation schemes and the Blekhman perturbation method. It is observed that quantum fluctuations and oscillation amplitudes within the parametric resonance zone can be modulated through the fast external periodic forcing. Moreover, the influence of the strength of driving on the overall system dynamics is systematically explored. Finally, the theoretical predictions are validated through numerical simulations, establishing the reliability of the developed framework.