论文标题

统一量子和经典噪声的动态效应

Unifying the dynamical effects of quantum and classical noises

论文作者

Yu, Li

论文摘要

我们使用二维串联扩展方法开发了一个新的主方程,以作为量子噪声(系统托架相互作用)和经典噪声对系统动力学的影响的统一描述。当存在量子和经典噪声时,它们对系统动力学的综合效果不一定是两个单独效应的简单总和。因此,即使在共同使用的情况下,开放系统和经典噪声的先前的主方程也可能无法捕获完整的物理学。我们的形式主义可以确定量子和经典声音之间是否存在干扰,如果有任何(以扰动方式),将能够捕获和描述这种干扰。我们发现,有趣的是,量子和经典声音之间的二阶干扰消失了。因此,这项工作也有助于证明量子和经典噪音的简单添加剂处理是合理的,尤其是在弱耦合方面。对于与光腔相互作用的随机磁场中的Zeeman分裂原子,我们使用此处开发的形式主义来找到原子能量水平之间的总体反应速率。

We develop a new master equation as a unified description of the effects of both quantum noise (system-bath interaction) and classical noise on a system's dynamics, using a two-dimensional series expansion method. When quantum and classical noises are both present, their combined effect on a system's dynamics is not necessarily a simple sum of the two individual effects. Thus previous master equations for open systems and those for classical noise, even when jointly used, may not capture the full physics. Our formalism can determine whether there is interference between quantum and classical noises and will be able to capture and describe such interference if there is any (in a perturbative manner). We find that, interestingly, second-order interference between quantum and classical noises vanishes identically. This work thus also serves to justify simple additive treatments of quantum and classical noises, especially in the weak coupling regime. For a Zeeman-splitted atom in a stochastic magnetic field interacting with an optical cavity, we use the formalism developed herein to find the overall decoherence rate between the atom's energy levels.

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