Nonperturbative decay of an atomic system in a cavity
Nonperturbative decay of an atomic system in a cavity
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DOI：
10.1103/physreva.55.2290
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发表时间：
1997-03-01
影响因子：
2.9
通讯作者：
Garraway, BM
中科院分区：
文献类型：
--
作者：
Garraway, BM
如今，原子可以被放置在越来越奇异的环境中，例如微观腔和具有光子带隙的材料。高Q腔现在可以很容易地导致原子与其环境之间的强耦合，微扰理论不再适用。本文的目的是描述一个多能级V型原子系统（包括一个两能级系统的情况下）的动力学，该系统与一个由广义态密度建模的水库相互作用。一个理论构造，伪模，是用来开发一般的解决方案的方法。在不使用微扰理论的情况下，导出了等效的主方程，并举例讨论了主方程、伪模和广义态密度函数之间的关系。利用一个简单的定义的伪模，它被发现，许多功能的状态密度导致有问题的非Lindblad主方程。几个践踏。并给出了在这些情况下如何将非Lindblad主方程转换成Lindblad形式。这些例子包括一个纳米洛仑兹共振和一个简单的光子带隙模型。
Atoms can nowadays be placed in increasingly exotic environments such as microscopic cavities and materials with photonic band gaps. High-Q cavities can now easily result in a strong coupling between an atom and its environment where perturbation theory should no longer be appropriate. The purpose of this paper is to describe the dynamics of a multilevel V-type atomic system (including the case of a two-level system) which interacts with a reservoir modeled by a generalized density of states. A theoretical construct, the pseudomode, is utilized to develop general methods for solution. Without using perturbation theory the equivalent master equation is developed and the relationship between the master equation, the pseudomodes, and the generalized density of states function is explored with examples. Utilizing a straightforward definition of the pseudomode, it is found that many functions for the density of states lead to problematic non-Lindblad master equations. Several tramples are given. and it is shown how to convert the non-Lindblad master equations into a Lindblad form in these cases. The examples include a nan-lorentzian resonance and a simple model of a photonic band gap.