2025/11/11 by T. Mukherjee, Mukherjee, Titir, Arnab Acharya +5
Physics and Astronomy · #Bifurcation #Chaotic #Dissipation #Dissipative system #FOS: Physical sciences #Lyapunov exponent #Mechanical and Optical Resonators #Position (finance) #Quantum #Quantum Physics (quant-ph) #Quantum chaos #Quantum chaos and dynamical systems #Quantum dissipation #Quantum dynamics #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.2511.08497
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2025/11/11 · openalex created_date 2025/11/13 · openalex updated_date 2026/07/28
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.