论文标题
一个近似方案和非热重新归一化，用于描述原子领域系统的演变
An approximation scheme and non-Hermitian re-normalization for description of atom-field system evolution
论文作者
论文摘要
光源和原子之间的相互作用本质上是普遍存在的。对它们的研究在基本层面以及应用方面都很有趣。它们是量子信息处理任务和量子热力学协议的核心。但是，即使对于在旋转波近似中与场相互作用的两级原子，也没有精确的解决方案。这是量子场理论中的基本问题，我们只能在时间渐近限制（即减去和加上无穷大）中计算过渡，而我们无法追踪演变。在本文中，我们希望更多地了解一个两级原子和连续模式量子场的总系统的时间演变。我们提出了一个近似值，我们能够系统地应用于Dyson扩展的每个顺序，从而为合并系统的演化提供了极大的简化公式。我们的工具包括拟议的小说{\ it non-Hermitian}重新归一化方法。作为理智检查，通过应用我们的框架，我们得出了已知的光学Bloch方程。
Interactions between a source of light and atoms are ubiquitous in nature. The study of them is interesting on the fundamental level as well as for applications. They are in the core of Quantum Information Processing tasks and in Quantum Thermodynamics protocols. However, even for two-level atom interacting with field in rotating wave approximation there exists no exact solution. This touches as basic problem in quantum field theory, where we can only calculate the transitions in the time asymptotic limits (i.e. minus and plus infinity), while we are not able to trace the evolution. In this paper we want to get more insight into the time evolution of a total system of a two-level atom and a continuous-mode quantum field. We propose an approximation, which we are able to apply systematically to each order of Dyson expansion, resulting in greatly simplified formula for the evolution of the combined system at any time. Our tools include a proposed novel, {\it non-Hermitian} re-normalization method. As a sanity check, by applying our framework, we derive the known optical Bloch equations.
