论文标题
受到快速电报噪声的两级系统的缓慢振荡动力学:超越NIBA近似
Slow oscillating dynamics of a two-level system subject to a fast telegraph noise: beyond the NIBA approximation
论文作者
论文摘要
我们研究了两个站点模型的动力学,在该模型中,该站点之间的隧道幅度不是恒定的,而是高频噪声。显然,该模型中的人口失衡随时间呈指数衰减。值得注意的是,当不对称水平随着隧道幅度的波动而波动时,衰减会发生巨大修饰。对于这些相相波动的特定类型,即电报噪声,我们找到了平均种群动态的确切解决方案。看来,从1个时间开始的1个站点之间的人口失衡$ t = 0 $在限制$ t \ rightarrow \ infty $中接近恒定值。在有限的偏见下,不平衡在$ t \ rightarrow \ infty $中零,而噪声控制的衰减动力学获得了振荡特征。
We study the dynamics of a two-site model in which the tunneling amplitude between the sites is not constant but rather a high-frequency noise. Obviously, the population imbalance in this model decays exponentially with time. Remarkably, the decay is modified dramatically when the level asymmetry fluctuates in-phase with fluctuations of the tunneling amplitude. For particular type of these in-phase fluctuations, namely, the telegraph noise, we find the exact solution for the average population dynamics. It appears that the population imbalance between the sites starting from 1 at time $t=0$ approaches a constant value in the limit $t\rightarrow \infty$. At finite bias, the imbalance goes to zero at $t\rightarrow \infty$, while the dynamics of the decay governed by noise acquires an oscillatory character.