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Dynamical chaos in a dissipative driven quantum soft-impact oscillator
Titir Mukherjee1, Arnab Acharya2, Soumitro Banerjee1
1Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur, Nadia 741 246, West Bengal, India.
Chaos (Woodbury, N.Y.)
|August 13, 2026
Summary
This study reveals that periodically driven, dissipative soft-impact oscillators exhibit quantum dynamical chaos. Environmental fluctuations influence nonlinear dynamics in open quantum systems, demonstrating chaos persistence under quantum dissipation.
Area of Science:
- Quantum mechanics
- Nonlinear dynamics
- Chaos theory
Background:
- Soft-impact oscillators are complex systems exhibiting rich dynamics.
- Understanding quantum effects in dissipative systems is crucial for quantum technologies.
Purpose of the Study:
- To investigate the quantum dynamics of a periodically driven, dissipative soft-impact oscillator.
- To demonstrate the emergence of dynamical chaos in this quantum system.
Main Methods:
- Simulation using the complex-number quantum Langevin equation.
- Analysis via time-series diagnostics: bifurcation diagrams, Lyapunov exponents, Fourier spectra, and the 0-1 test.
Main Results:
- Observed transitions from periodic to multiperiodic motion and culminating in chaotic behavior.
- Identified grazing bifurcations as the wall position was varied.
- Demonstrated the persistence of impact-induced chaos under quantum dissipation.
Conclusions:
- Periodically driven, dissipative soft-impact oscillators exhibit quantum dynamical chaos.
- Environmental fluctuations significantly influence nonlinear dynamics in open quantum systems.
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