期刊
PHYSICAL REVIEW A
卷 88, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.88.012103
关键词
-
资金
- German National Academic Foundation
- ARO MURI [W911NF-11-1-0268]
- NSF [CHM-1037992, PHY-969969, PHY-803304]
- Direct For Mathematical & Physical Scien
- Division Of Physics [969969] Funding Source: National Science Foundation
We present a first-principles derivation of the Markovian semigroup master equation without invoking the rotating-wave approximation (RWA). Instead we use a time coarse-graining approach that leaves us with a free time-scale parameter, which we can optimize. Comparing this approach to the standard RWA-based Markovian master equation, we find that significantly better agreement is possible using the coarse-graining approach, for a three-level model coupled to a bath of oscillators, whose exact dynamics we can solve for at zero temperature. The model has the important feature that the RWA has a nontrivial effect on the dynamics of the populations. We show that the two different master equations can exhibit strong qualitative differences for the population of the energy eigenstates even for such a simple model. The RWA-based master equation misses an important feature which the coarse-graining-based scheme does not. By optimizing the coarse-graining time scale the latter scheme can be made to approach the exact solution much more closely than the RWA-based master equation.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据