2025/05/02 by Somnath Roy, Roy, Somnath, Chitrak Bhadra +3 · 1 citation
Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Mechanical and Optical Resonators #Nonlinear Dynamics and Pattern Formation #Quantum Information and Cryptography
paper · pdf · doi:10.48550/arxiv.2505.01373
openalex publication_date 2025/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.