Nonlinear dynamics of quantum analogs of classical impact oscillators

IF 2.9 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2026-04-01 Epub Date: 2026-01-05 DOI:10.1016/j.physd.2025.135092

Arnab Acharya, Titir Mukherjee, Deepshikha Singh, Soumitro Banerjee

引用次数: 0

Abstract

This paper investigates the dynamics of quantum analogs of classical impact oscillators to explore how complex nonlinear behaviors manifest in quantum systems. While classical impact oscillators exhibit chaos and bifurcations, quantum systems, governed by linear equations, appear to forbid such dynamics. Through simulations of unforced, forced, and dissipative quantum oscillators, we uncover quasiperiodicity, strange non-chaotic dynamics, and even chaos in the presence of dissipation. Using entropy time series, Fourier spectra, OTOCs, Lyapunov analysis, and the 0–1 test, we demonstrate that quantum systems can exhibit rich dynamical signatures analogous to classical nonlinear systems, bridging quantum mechanics and chaos theory.

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经典冲击振子量子类似物的非线性动力学

本文研究了经典冲击振子的量子类似物的动力学，以探索复杂的非线性行为如何在量子系统中表现出来。经典的冲击振子表现出混沌和分岔，而由线性方程控制的量子系统似乎禁止这种动力学。通过对非强制、强制和耗散量子振子的模拟，我们揭示了准周期性、奇异的非混沌动力学，甚至在耗散存在下的混沌。利用熵时间序列、傅立叶谱、otoc、Lyapunov分析和0-1检验，我们证明了量子系统可以表现出类似于经典非线性系统的丰富动态特征，并架起了量子力学和混沌理论的桥梁。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.