受快速电报噪声作用的二能级系统的慢振荡动力学:超越NIBA近似
Slow oscillating dynamics of a two-level system subject to a fast telegraph noise: beyond the NIBA approximation
AI总结:
本研究针对受高频电报噪声作用的双格点二能级系统,超越NIBA近似得到同相涨落下平均布居动力学精确解,揭示了不同偏置条件下布居差的衰减与振荡规律。
摘要:
我们研究了一个双格点模型的动力学,该模型中格点间的隧穿幅度并非恒定,而是高频噪声。显然,该模型中的粒子数布居差随时间呈指数衰减。值得注意的是,当能级不对称性与隧穿幅度的涨落同相波动时,这种衰减会发生显著改变。针对这类同相涨落的特定类型——即telegraph noise(电报噪声),我们得到了平均布居动力学的精确解。结果表明,初始时刻t=0时格点间布居差为1的情况下,当t→∞时布居差趋近于一个常数。在存在有限偏置时,t→∞时布居差趋于零,而由噪声主导的衰减动力学呈现出振荡特性。
英文摘要:
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.
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