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Open Quantum Systems Decoherence

Dynamical Chaos in a Dissipative Driven Quantum Soft Impact Oscillator

arXiv
Authors: Titir Mukherjee, Arnab Acharya, Soumitro Banerjee, Deb Shankar Ray

Year

2025

Paper ID

17317

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

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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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2511.08497 [2] arXiv https://arxiv.org/abs/2511.08497 [3] Publisher https://arxiv.org/abs/2511.08497

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