Dynamical Chaos in a Dissipative Driven Quantum Soft Impact Oscillator
Abstract
Dynamical chaos in a periodically driven, dissipative soft impact oscillator is investigated in the quantum regime using the complex-number quantum Langevin equation (c-number QLE). The averaged system dynamics are analyzed through a comprehensive suite of time-series diagnostics, including bifurcation diagrams, Lyapunov exponents, Fourier spectra, and the 0-1 test. Systematic variation of the wall position reveals a rich sequence of dynamical transitions and grazing bifurcations, progressing from periodic to multiperiodic motion and culminating in chaotic behavior. These results demonstrate the persistence of impact-induced chaos under quantum dissipation and elucidate how environmental fluctuations influence non-linear dynamics in open quantum systems.
Cite
@article{arxiv.2511.08497,
title = {Dynamical Chaos in a Dissipative Driven Quantum Soft Impact Oscillator},
author = {Titir Mukherjee and Arnab Acharya and Soumitro Banerjee and Deb Shankar Ray},
journal= {arXiv preprint arXiv:2511.08497},
year = {2025}
}