Dynamical Chaos in a Dissipative Driven Quantum Soft Impact Oscillator

• URL: http://arxiv.org/abs/2511.08497v1
• Date: Wed, 12 Nov 2025 02:01:42 GMT
• Title: Dynamical Chaos in a Dissipative Driven Quantum Soft Impact Oscillator
• Authors: Titir Mukherjee, Arnab Acharya, Soumitro Banerjee, Deb Shankar Ray,
• Abstract summary: We show the persistence of impact-induced chaos under quantum dissipation.<n>Results show how environmental fluctuations influence non-linear dynamics in open quantum systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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