论文标题
简单的主方程来描述受经典非马克维亚噪声的驱动系统
Simple master equations for describing driven systems subject to classical non-Markovian noise
论文作者
论文摘要
即使噪声是经典的，受到非马克维亚噪声的驱动量子系统通常也很难建模。我们提出了一种基于广义累积扩展的系统方法，用于推导此类系统的时间本地主方程。该主方程具有直接形式，该形式直接与标准的lindblad方程相似，但包含几个令人惊讶的特征：驾驶和非马克维亚性的组合会导致有效的时间依赖性的倾向率，而噪声也会产生汉密尔顿肾脏的肾脏重新分解，即使它是经典的。我们详细分析了高度相关的情况，即rabi-driven量子符号受到各种非马克维亚噪声的约束，包括$ 1/f $波动，在我们的主方程与相关时间表上的数值隔离模拟之间找到了出色的一致性。此处概述的方法比常见的现象学主方程更准确，该方程式忽略了驾驶与噪声之间的相互作用。
Driven quantum systems subject to non-Markovian noise are typically difficult to model even if the noise is classical. We present a systematic method based on generalized cumulant expansions for deriving a time-local master equation for such systems. This master equation has an intuitive form that directly parallels a standard Lindblad equation, but contains several surprising features: the combination of driving and non-Markovianity results in effective time-dependent dephasing rates that can be negative, and the noise can generate Hamiltonian renormalizations even though it is classical. We analyze in detail the highly relevant case of a Rabi-driven qubit subject to various kinds of non-Markovian noise including $1/f$ fluctuations, finding an excellent agreement between our master equation and numerically-exact simulations over relevant timescales. The approach outlined here is more accurate than commonly employed phenomenological master equations which ignore the interplay between driving and noise.
