论文标题
波袋超震动的非线性动力学
Nonlinear dynamics of superpostion of wavepackets
论文作者
论文摘要
我们研究量子波袋叠加的非线性动力学在各种系统中，例如Kerr介质，Morse振荡器和玻色孔Josephson Junction。这项研究的主要原因是找出状态叠加如何影响量子系统的动力学。我们考虑叠加状态，这些状态是量子计算和量子通信的潜在候选者，因此我们最有必要研究动态以适当理解和使用。非线性时间序列分析中的方法，例如首次返回时间分布，复发图和Lyapunov指数，用于动力学的资格和量化。我们发现，当我们考虑波数据包的叠加时，量子系统的动力学发生了巨大变化。这些变化在各种动力学中观察到，例如周期性，准周期性，千古和混乱动力学。
We study nonlinear dynamics of superposition of quantum wavepackets in various systems such as Kerr medium, Morse oscillator and bosonic Josephson junction. The prime reason behind this study is to find out how the superposition of states influence the dynamics of quantum systems. We consider the superposition states which are potential candidates for quantum computing and quantum communication and so it is most necessary that we study the dynamics for their proper understanding and usage. Methods in nonlinear time series analysis such as first return time distribution, recurrence plot and Lyapunov exponent are used for the qualification and quantification of dynamics. We found that there is a vast change in the dynamics of quantum systems when we consider the superposition of wave packets. These changes are observed in various kinds of dynamics such as periodic, quasi-periodic, ergodic, and chaotic dynamics.
