论文标题
基于参数振荡器的淬火协议的效果
Effects of quenching protocols based on parametric oscillators
论文作者
论文摘要
我们考虑理解由参数振荡器描述的量子系统显示的基本特征的问题，其时间依赖的频率参数$ω（t）$在进化过程中连续变化，以实现不同类型的淬火协议。在此范围内，我们专注于$ω（t）^2 $表现像摩尔斯电位的情况，直到$（t，ω^2）$平面中可能的符号归还和翻译。我们为准正常模式的时间依赖性振幅得出了封闭的形式解决方案，这是输入经典和量子参数振荡器描述的非常基本的动力学对象，并突出了其基于驾驶细节而引起的独特情况的重要特征。这样做之后，我们通过关注量子态的态度，对量子状态的发展方式提供了一个见解。海森堡的不确定性原理以及二阶相关函数所隐含的统计方面在数字型状态下所隐含的统计方面。
We consider the problem of understanding the basic features displayed by quantum systems described by parametric oscillators whose time-dependent frequency parameter $ω(t)$ varies continuously during evolution so to realise quenching protocols of different types. To this scope we focus on the case where $ω(t)^2$ behaves like a Morse potential, up to possible sign reversion and translations in the $(t,ω^2)$ plane. We derive closed form solution for the time-dependent amplitude of quasi-normal modes, which is the very fundamental dynamical object entering the description of both classical and quantum parametric oscillators, and highlight its significant characteristics for distinctive cases arising based on the driving specifics. After doing so, we provide an insight on the way quantum states evolve by paying attention on the position-momentum Heisenberg uncertainty principle and the statistical aspects implied by second-order correlation functions over number-type states.
