绝热NEMS的瞬态动力学
Transient dynamics of an adiabatic NEMS
摘要：
研究了一个绝热纳米机电系统（NEMS）的瞬态动力学，该系统由一个纳米机械振子和一个量子点耦合而成。通过数值求解控制振子的非线性随机微分方程，研究了振子位置、点占有数和电流随时间的演化。不同的参数设置进行了研究，系统表现出双稳态，三稳态或单稳态行为在有限的时间范围内。结果表明，经过一个典型的长瞬态，调查下的系统没有表现出滞后行为，并达到一个独特的稳定状态，独立的初始条件。瞬态动态由一个或两个良好分离的特征时间标记，这取决于所考虑的情况（即，单稳态或多稳态）。我们评估这些时间的一个点的共振或非共振。事实证明，与非耦合振荡器的周期相比，特征时间尺度很长，特别是在低偏置下，这表明预测的瞬态动力学可以在最先进的实验装置中观察到。
英文摘要：
This paper is focused on the transient dynamics of an adiabatic nano-electromechanical system (NEMS), consisting of a nano-mechanical oscillator coupled to a quantum dot. By numerically solving the nonlinear stochastic differential equation governing the oscillator, the time evolution of the oscillator position, of the dot occupation number and of the current are studied. Different parameter settings are studied where the system exhibits bi-stable, tri-stable or mono-stable behavior on a finite-time horizon. It is shown that, after a typically long transient, the system under investigation exhibits no hysteretic behavior and that a unique steady state is reached, independently of the initial conditions. The transient dynamics is marked out by one or two well separated characteristic times, depending on the considered case (i.e., mono- or multi-stable). We evaluate these times for a dot on-resonance or off-resonance. It turns out that the characteristic time scales are long in comparison to the period of the uncoupled oscillator, particularly at low bias, suggesting that the predicted transient dynamics may be observed in state-of-the-art experimental setups.
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