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Hauptverfasser: Mukherjee, Titir, Acharya, Arnab, Banerjee, Soumitro, Ray, Deb Shankar
Format: Preprint
Veröffentlicht: 2025
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Online-Zugang:https://arxiv.org/abs/2511.08497
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author Mukherjee, Titir
Acharya, Arnab
Banerjee, Soumitro
Ray, Deb Shankar
author_facet Mukherjee, Titir
Acharya, Arnab
Banerjee, Soumitro
Ray, Deb Shankar
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_08497
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dynamical Chaos in a Dissipative Driven Quantum Soft Impact Oscillator
Mukherjee, Titir
Acharya, Arnab
Banerjee, Soumitro
Ray, Deb Shankar
Quantum Physics
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.
title Dynamical Chaos in a Dissipative Driven Quantum Soft Impact Oscillator
topic Quantum Physics
url https://arxiv.org/abs/2511.08497